Curvature estimates for minimal surfaces in 3-manifolds, Annales scientifiques de l'École Normale Supérieure, vol.18, pp.89-105, 1985. ,
Ricci flow on open 3-manifolds and positive scalar curvature, Geom. Topol, vol.15, issue.2, pp.927-975, 2011. ,
The splitting theorem for manifolds of nonnegative ricci curvature, Journal of Differential Geometry, vol.6, issue.1, pp.119-128, 1971. ,
On the structure of complete manifolds of nonnegative curvature, Annals of Mathematics, pp.413-443, 1972. ,
The space of embedded minimal surfaces of fixed genus in a 3-manifold. iv: Locally simply connected, Ann. Math, vol.160, issue.2, pp.573-615, 2004. ,
A course in minimal surfaces, vol.121, 2011. ,
Kürzeste Wege und Totalkrümmung auf Flächen, Compos. Math, vol.2, pp.69-133, 1935. ,
Taming 3-manifolds using scalar curvature, Geometriae Dedicata, vol.148, issue.1, pp.3-14, 2010. ,
Solution of the problem of plateau, Transactions of the American Mathematical Society, vol.33, issue.1, pp.263-321, 1931. ,
The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature, Communications on Pure and Applied Mathematics, vol.33, issue.2, pp.199-211, 1980. ,
Geometric measure theory, 2014. ,
Normal and integral currents, Annals of Mathematics, pp.458-520, 1960. ,
On complete minimal surfaces with finite Morse index in three manifolds, Invent. Math, vol.82, pp.121-132, 1985. ,
, Topology of 4-Manifolds, vol.39, 2014.
Stable complete surfaces with constant mean curvature. Boletim da Sociedade Brasileira de Matemática, vol.27, pp.129-144, 1996. ,
Positive scalar curvature and the dirac operator on complete riemannian manifolds, vol.58, pp.83-196, 1983. ,
On complete open manifolds of positive curvatur, Annals of Mathematics, pp.75-90, 1969. ,
Metric inequalities with scalar curvature. Geometric and Functional Analysis, vol.28, pp.645-726, 2018. ,
On the bases of a free product of groups, Mat. Sbornik, vol.8, pp.169-182, 1940. ,
Contractible 3-manifolds and the double 3-space property, Transactions of the American Mathematical Society, vol.370, issue.3, pp.2039-2055, 2018. ,
Elliptic partial differential equations of second order, 2015. ,
Regularity of minimizing surfaces of prescribed mean curvature, Annals of Mathematics, pp.275-305, 1973. ,
Three-manifolds with positive ricci curvature, Journal of Differential Geometry, vol.17, issue.2, pp.255-306, 1982. ,
, Notes on basic 3-manifold topology, 2000.
Algebraic topology, 2005. ,
Some remarks on minimal surfaces in riemannian manifolds, Communications on Pure and Applied mathematics, vol.23, issue.3, pp.371-377, 1970. ,
Elliptic partial differential equations, American Mathematical Soc, vol.1, 2011. ,
Deformation to positive scalar curvature on complete manifolds, Mathematische Annalen, vol.261, issue.2, pp.227-234, 1982. ,
Geschlossene flächen in dreidimensionalen mannigfaltigkeiten, Jahresbericht der Deutschen Mathematiker-Vereinigung, vol.38, pp.248-259, 1929. ,
Prescribing curvatures, Proceedings of Symposia in Pure Mathematics, vol.27, pp.309-319, 1975. ,
, Gang Liu. 3-manifolds with nonnegative ricci curvature. Inventiones mathematicae, vol.193, pp.367-375, 2013.
A spherical decomposition for riemannian open 3-manifolds. Geometric And Functional Analysis, vol.17, pp.839-851, 2007. ,
Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositions, 2008. ,
Limit leaves of a cmc lamination are stable, 2008. ,
The global theory of minimal surfaces in flat spaces, 2002. ,
Topology of three dimensional manifolds and the embedding problems in minimal surface theory, Annals of Mathematics, vol.112, issue.3, pp.441-484, 1980. ,
The existence of embedded minimal surfaces and the problem of uniqueness, Mathematische Zeitschrift, vol.179, issue.2, pp.151-168, 1982. ,
Cartesian products of contractible open manifolds, Bulletin of the American Mathematical Society, vol.67, issue.5, pp.510-514, 1961. ,
Some contractible open 3-manifolds, Transactions of the American Mathematical Society, vol.102, issue.2, pp.373-382, 1962. ,
The problem of plateau on a riemannian manifold, Annals of Mathematics, pp.807-851, 1948. ,
Multiple integrals in the calculus of variations, 2009. ,
Ricci flow and the Poincaré conjecture, vol.3, 2007. ,
The boundary behavior of minimal surfaces. kellogg's theorem and branch points on the boundary, Inventiones mathematicae, vol.8, pp.313-333, 1969. ,
A proof of the regularity everywhere of the classical solution to plateau's problem, Annals of Mathematics, pp.550-569, 1970. ,
Riemannian geometry, vol.171, 2006. ,
, The entropy formula for ricci flow and its geometric applications. arXiv preprint math/0211159, 2002.
, Ricci flow with surgery on three-manifolds. arXiv preprint math/0303109, 2002.
, Grisha Perelman. Finite extinction time for the solutions to the ricci flow on certain threemanifolds, 2003.
On plateau's problem, Annals of Mathematics, pp.457-469, 1930. ,
Knots and links, vol.346, 2003. ,
Constant mean curvature surfaces in homogeneously regular 3-manifolds, Bulletin of the Australian Mathematical Society, vol.74, issue.2, pp.227-238, 2006. ,
An introduction to the theory of groups, vol.148, 2012. ,
Some examples of aspherical 4-manifolds that are homology 4-spheres, Topology, vol.44, issue.2, pp.341-350, 2005. ,
Knoten und vollringe, Acta Mathematica, vol.90, issue.1, pp.131-286, 1953. ,
Estimates for stable minimal surfaces in three dimensional manifolds, Seminar on minimal submanifolds, vol.103, pp.111-126, 1983. ,
Fundamental groups of non-compact 3-manifolds, Proceedings of the London Mathematical Society, vol.3, issue.2, pp.303-326, 1977. ,
Lectures on geometric measure theory. The Australian National University Mathematical Sciences Institute, 1983. ,
Group theory and three-dimensional manifolds, 1972. ,
Complete kähler manifolds with nonpositive curvature of faster than quadratic decay, Annals of Mathematics, vol.105, issue.2, pp.225-264, 1977. ,
Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature, Annals of Mathematics, vol.110, issue.1, 1979. ,
On the structure of manifolds with positive scalar curvature, Manuscripta mathematica, vol.28, issue.1-3, pp.159-183, 1979. ,
Complete three-dimensional manifolds with positive ricci curvature and scalar curvature, Seminar on Differential Geometry, vol.102, pp.209-228, 1982. ,
The existence of a black hole due to condensation of matter, Communications in Mathematical Physics, vol.90, issue.4, pp.575-579, 1983. ,
Positive scalar curvature and minimal hypersurface singularities, 2017. ,
Gauge theory on asymptotically periodic t4u-manifolds, Journal of Differential Geometry, vol.25, issue.3, 1987. ,
Contractible 3-manifolds and positive scalar curvatures (I), 2019. ,
, Contractible 3-manifolds and positive scalar curvatures (II), 2019.
Simply connected open 3-manifolds with slow decay of positive scalar curvature, Comptes Rendus Mathematique, vol.357, issue.3, pp.284-290, 2019. ,
A certain open manifold whose group is unity, The Quarterly Journal of Mathematics, vol.6, issue.1, pp.268-279, 1935. ,
Problem section, Seminar on Differential Geometry, vol.102, pp.669-706, 1982. ,