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C. Arezzo and F. Pacard, Blowing up Kähler manifolds with constant scalar curvature II

C. Arezzo and F. Pacard, Blowing up and desingularizing constant scalar curvature K??hler manifolds, Acta Mathematica, vol.196, issue.2, pp.179-228, 2006.
DOI : 10.1007/s11511-006-0004-6

URL : http://arxiv.org/pdf/math/0411522v3.pdf

T. Aubin, Some nonlinear Problems in Riemannian Geometry, 1998.
DOI : 10.1007/978-3-662-13006-3

R. Bartnik and J. Isenberg, The constraint equations, The Einstein equations and the large scale behavior of gravitational fields, pp.1-39, 2004.

Y. Choquet-bruhat, Th??or??me d'existence pour certains syst??mes d'??quations aux d??riv??es partielles non lin??aires, Acta Mathematica, vol.88, issue.0, pp.141-225, 1952.
DOI : 10.1007/BF02392131

P. T. Chru´scielchru´sciel and E. Delay, On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications, Mém. Soc. Math. de France, vol.94, pp.1-103, 2003.

P. T. Chru´scielchru´sciel, J. Isenberg, and D. Pollack, Initial Data Engineering, Communications in Mathematical Physics, vol.57, issue.1, pp.29-42, 2005.
DOI : 10.1007/s00220-005-1345-2

P. T. Chru´scielchru´sciel and R. Mazzeo, On ??many-black-hole?? vacuum spacetimes, Classical and Quantum Gravity, vol.20, issue.4, pp.729-754, 2003.
DOI : 10.1088/0264-9381/20/4/308

S. K. Donaldson, An application of gauge theory to four-dimensional topology, Journal of Differential Geometry, vol.18, issue.2, pp.279-315, 1983.
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M. Gromov and H. B. Lawson, The Classification of Simply Connected Manifolds of Positive Scalar Curvature, The Annals of Mathematics, vol.111, issue.3, pp.111-423, 1980.
DOI : 10.2307/1971103

J. Isenberg, D. Maxwell, and D. Pollack, A gluing construction for non-vacuum solutions of the Einstein-constraint equations, Advances in Theoretical and Mathematical Physics, vol.9, issue.1, pp.129-172, 2005.
DOI : 10.4310/ATMP.2005.v9.n1.a3

J. Isenberg, R. Mazzeo, and D. Pollack, Gluing and Wormholes for the Einstein Constraint Equations, Communications in Mathematical Physics, vol.231, issue.3, pp.529-568, 2002.
DOI : 10.1007/s00220-002-0722-3

J. Isenberg, R. Mazzeo, and D. Pollack, On the Topology of Vacuum Spacetimes, Annales Henri Poincar??, vol.4, issue.2, pp.369-383, 2003.
DOI : 10.1007/s00023-003-0133-9

D. Joyce, Constant scalar curvature metrics on connected sums, International Journal of Mathematics and Mathematical Sciences, vol.2003, issue.7, pp.405-450, 2003.
DOI : 10.1155/S016117120310806X

URL : http://doi.org/10.1155/s016117120310806x

D. Joyce, Compact Manifolds with Special Holonomy, 2000.

J. L. Kazdan and F. Warner, Existence and Conformal Deformation of Metrics With Prescribed Gaussian and Scalar Curvatures, The Annals of Mathematics, vol.101, issue.2, pp.317-331, 1975.
DOI : 10.2307/1970993

J. L. Kazdan and F. Warner, Scalar curvature and conformal deformation of Riemannian structure, Journal of Differential Geometry, vol.10, issue.1, pp.113-134, 1975.
DOI : 10.4310/jdg/1214432678

A. G. Kovalev, Twisted connected sums and special Riemannian holonomy, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2003, issue.565, pp.125-160, 2003.
DOI : 10.1515/crll.2003.097

URL : http://arxiv.org/abs/math/0012189

R. Mazzeo and F. Pacard, Constant scalar curvature metrics with isolated singularities, Duke Math, Journal, vol.99, issue.3, pp.353-418, 1999.

R. Mazzeo and F. Pacard, Constant mean curvature surfaces with Delaunay ends, Communications in Analysis and Geometry, vol.9, issue.1, pp.169-237, 2001.
DOI : 10.4310/CAG.2001.v9.n1.a6

R. Mazzeo, F. Pacard, and D. Pollack, Connected sums of constant mean curvature surfaces in Euclidean 3 space, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2001, issue.536, pp.115-165, 2001.
DOI : 10.1515/crll.2001.054

R. Mazzeo, D. Pollack, and K. Uhlenbeck, Connected sums constructions for constant scalar curvature metrics, Topological Method in Nonlinear Analysis, vol.6, pp.207-233, 1995.
DOI : 10.12775/tmna.1995.042

L. Mazzieri, Generalized connected sum construction for constant scalar curvature metricsàmetricsà para??trepara??tre dans Communication in Partial Differential Equations

L. Mazzieri, Generalized connected sum construction for scalar flat metrics , arXiv:math, DG, p.611778, 2006.
DOI : 10.1007/s00229-009-0250-y

URL : http://arxiv.org/abs/math/0611778

L. Mazzieri, Generalized gluing for Einstein constraint equations, Calculus of Variations and Partial Differential Equations, vol.28, issue.1???3, 2007.
DOI : 10.1007/s00526-008-0191-4

URL : http://dx.doi.org/10.1007/s00526-008-0191-4

R. B. Melrose, The Atiyah-Patodi-Singer Index Theorem, Res. Notes Math, vol.4, 1993.

R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, Journal of Differential Geometry, vol.20, issue.2, pp.479-495, 1984.
DOI : 10.4310/jdg/1214439291

R. Schoen and S. T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Mathematica, vol.27, issue.6, pp.159-183, 1979.
DOI : 10.1007/BF01647970

C. H. Taubes, The existence of anti-self-dual conformal structures, Journal of Differential Geometry, vol.36, issue.1, pp.163-253, 1992.
DOI : 10.4310/jdg/1214448445

N. Trudinger, Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Scuola Norm. Sup. Pisa, vol.22, pp.265-274, 1968.

H. Yamabe, On a deformation of Riemannian structure on compact manifolds , Osaka Math, J, vol.12, pp.21-37, 1960.

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T. Aubin, Some nonlinear Problems in Riemannian Geometry, 1998.
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D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equation of Second Order, 1983.

D. Joyce, Constant scalar curvature metrics on connected sums, International Journal of Mathematics and Mathematical Sciences, vol.2003, issue.7, pp.405-450, 2003.
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URL : http://doi.org/10.1155/s016117120310806x

R. Mazzeo and F. Pacard, Constant scalar curvature metrics with isolated singularities , Duke Math, Journal, vol.99, issue.3, pp.353-418, 1999.

R. Mazzeo and F. Pacard, Constant mean curvature surfaces with Delaunay ends, Communications in Analysis and Geometry, vol.9, issue.1, pp.169-237, 2001.
DOI : 10.4310/CAG.2001.v9.n1.a6

R. Mazzeo, F. Pacard, and D. Pollack, Connected sums of constant mean curvature surfaces in Euclidean 3 space, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2001, issue.536, pp.115-165, 2001.
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R. Mazzeo, D. Pollack, and K. Uhlenbeck, Connected sums constructions for constant scalar curvature metrics, Topological Method in Nonlinear Analysis, vol.6, pp.207-233, 1995.

M. Gromov and H. B. Lawson, The Classification of Simply Connected Manifolds of Positive Scalar Curvature, The Annals of Mathematics, vol.111, issue.3, pp.423-434, 1980.
DOI : 10.2307/1971103

R. Schoen and S. T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Mathematica, vol.27, issue.6, pp.159-183, 1979.
DOI : 10.1007/BF01647970

T. Aubin, Some nonlinear Problems in Riemannian Geometry, 1998.
DOI : 10.1007/978-3-662-13006-3

Y. Choquet-bruhat, Th??or??me d'existence pour certains syst??mes d'??quations aux d??riv??es partielles non lin??aires, Acta Mathematica, vol.88, issue.0, pp.141-225, 1952.
DOI : 10.1007/BF02392131

D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equation of Second Order, 1983.

D. Joyce, Constant scalar curvature metrics on connected sums, International Journal of Mathematics and Mathematical Sciences, vol.2003, issue.7, pp.405-450, 2003.
DOI : 10.1155/S016117120310806X

URL : http://doi.org/10.1155/s016117120310806x

J. L. Kazdan and F. Warner, Existence and Conformal Deformation of Metrics With Prescribed Gaussian and Scalar Curvatures, The Annals of Mathematics, vol.101, issue.2, pp.317-331, 1975.
DOI : 10.2307/1970993

J. L. Kazdan and F. Warner, Scalar curvature and conformal deformation of Riemannian structure, Journal of Differential Geometry, vol.10, issue.1, pp.113-134, 1975.
DOI : 10.4310/jdg/1214432678

J. Isenberg, D. Maxwell, and D. Pollack, A gluing construction for non-vacuum solutions of the Einstein-constraint equations, Advances in Theoretical and Mathematical Physics, vol.9, issue.1, pp.129-172, 2005.
DOI : 10.4310/ATMP.2005.v9.n1.a3

J. Isenberg, R. Mazzeo, and D. Pollack, Gluing and Wormholes for the Einstein Constraint Equations, Communications in Mathematical Physics, vol.231, issue.3, pp.529-568, 2002.
DOI : 10.1007/s00220-002-0722-3

J. M. Lee and T. H. Parker, The Yamabe problem, Bulletin of the American Mathematical Society, vol.17, issue.1, pp.37-91, 1987.
DOI : 10.1090/S0273-0979-1987-15514-5

R. Mazzeo and F. Pacard, Constant scalar curvature metrics with isolated singularities , Duke Math, Journal, vol.99, issue.3, pp.353-418, 1999.
DOI : 10.1215/s0012-7094-99-09913-1

URL : http://arxiv.org/abs/dg-ga/9605004

R. Mazzeo and F. Pacard, Constant mean curvature surfaces with Delaunay ends, Communications in Analysis and Geometry, vol.9, issue.1, pp.169-237, 2001.
DOI : 10.4310/CAG.2001.v9.n1.a6

URL : http://arxiv.org/abs/math/9807039

R. Mazzeo, F. Pacard, and D. Pollack, Connected sums of constant mean curvature surfaces in Euclidean 3 space, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2001, issue.536, pp.115-165, 2001.
DOI : 10.1515/crll.2001.054

R. Mazzeo, D. Pollack, and K. Uhlenbeck, Connected sums constructions for constant scalar curvature metrics, Topological Method in Nonlinear Analysis, vol.6, pp.207-233, 1995.

L. Mazzieri, Generalized connected sum construction for constant scalar curvature metrics to appear in Communication in Partial Differential Equations

M. Gromov and H. B. , The Classification of Simply Connected Manifolds of Positive Scalar Curvature, The Annals of Mathematics, vol.111, issue.3, pp.423-434, 1980.
DOI : 10.2307/1971103

R. Schoen and S. T. , Yau On the structure of manifolds with positive scalar curvature, Manuscripta Math, vol.28, issue.1, pp.3-159, 1979.

R. Beig, P. T. Chru´scielchru´sciel, and R. Schoen, KIDs are Non-Generic, Annales Henri Poincar??, vol.6, issue.1, pp.155-194, 2005.
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R. Bartnik and J. Isenberg, The constraint equations, The Einstein equationsand the large scale behavior of gravitational fields, pp.1-39, 2004.

Y. Choquet-bruhat, Th??or??me d'existence pour certains syst??mes d'??quations aux d??riv??es partielles non lin??aires, Acta Mathematica, vol.88, issue.0, pp.141-225, 1952.
DOI : 10.1007/BF02392131

P. T. Chru´scielchru´sciel, J. Isenberg, and D. Pollack, Initial Data Engineering, Communications in Mathematical Physics, vol.57, issue.1, pp.29-42, 2005.
DOI : 10.1007/s00220-005-1345-2

M. Giaquinta and L. Martinazzi, An introduction to the regularity thoery for elliptic systems, harmonic maps and minimal graphs, 2005.

D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equation of Second Order, 1983.

M. Gromov and H. B. , Lawson The classification of simply connected manifolds of positive scalar curvature, Ann. of Math, issue.2 3, pp.111-423, 1980.

D. Joyce, Constant scalar curvature metrics on connected sums, International Journal of Mathematics and Mathematical Sciences, vol.2003, issue.7, pp.405-450, 2003.
DOI : 10.1155/S016117120310806X

J. Isenberg, D. Maxwell, and D. Pollack, A gluing construction for non-vacuum solutions of the Einstein-constraint equations, Advances in Theoretical and Mathematical Physics, vol.9, issue.1, pp.129-172, 2005.
DOI : 10.4310/ATMP.2005.v9.n1.a3

J. Isenberg, R. Mazzeo, and D. Pollack, Gluing and Wormholes for the Einstein Constraint Equations, Communications in Mathematical Physics, vol.231, issue.3, pp.529-568, 2002.
DOI : 10.1007/s00220-002-0722-3

J. M. Lee and T. H. Parker, The Yamabe problem, Bulletin of the American Mathematical Society, vol.17, issue.1, pp.37-91, 1987.
DOI : 10.1090/S0273-0979-1987-15514-5

R. Mazzeo and F. Pacard, Constant scalar curvature metrics with isolated singularities , Duke Math, Journal, vol.99, issue.3, pp.353-418, 1999.

R. Mazzeo and F. Pacard, Constant mean curvature surfaces with Delaunay ends, Communications in Analysis and Geometry, vol.9, issue.1, pp.169-237, 2001.
DOI : 10.4310/CAG.2001.v9.n1.a6

R. Mazzeo, F. Pacard, and D. Pollack, Connected sums of constant mean curvature surfaces in Euclidean 3 space, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2001, issue.536, pp.115-165, 2001.
DOI : 10.1515/crll.2001.054

R. Mazzeo, D. Pollack, and K. Uhlenbeck, Connected sums constructions for constant scalar curvature metrics, Topological Method in Nonlinear Analysis, vol.6, pp.207-233, 1995.

L. Mazzieri, Generalized connected sum construction for nonzero constant scalar curvature metrics to appear in Communication in Partial Differential Equations

L. Mazzieri, Generalized connected sum construction for scalar flat metrics, arXiv:math, p.611778, 2006.

R. Schoen and S. T. , On the structure of manifolds with positive scalar curvature, Manuscripta Mathematica, vol.27, issue.6, pp.159-183, 1979.
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M. Taylor, Partial differential equations III: nonlinear equations, Appl. Math. Sci, vol.117, 1996.