R. Axelsson and G. Schumacher, K??hler geometry of Douady spaces, manuscripta mathematica, vol.85, issue.3, pp.277-291, 2006.
DOI : 10.1007/s00229-006-0020-z

T. Aubin, Équations du type Monge-Ampère sur les variétés kählériennes compactes, Bull. Sci. Math, vol.102, issue.21, pp.63-95, 1978.

W. Ballmann, Lectures on Kähler manifolds. ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), 2006.

J. Bertin, J. Demailly, L. Illusie, and C. Peters, Introduction à la théorie de Hodge, of Panoramas et Synthèses [Panoramas and Syntheses]. Société Mathématique de France, 1996.

A. Beauville, Vari??t??s K??hleriennes dont la premi??re classe de Chern est nulle, Journal of Differential Geometry, vol.18, issue.4, pp.755-782, 1983.
DOI : 10.4310/jdg/1214438181

L. Arthur and . Besse, Einstein manifolds, Classics in Mathematics, 2008.

B. Clarke and Y. Rubinstein, Conformal deformations of the Ebin metric and a generalized Calabi metric on the space of Riemannian metrics, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.30, issue.2, 2011.
DOI : 10.1016/j.anihpc.2012.07.003

J. Demailly, Analytic Methods in Algebraic Geometry, 2009.

J. Demailly, Complex analytic and differential geometry

J. Demailly and M. Paun, Numerical characterization of the K??hler cone of a compact K??hler manifold, Annals of Mathematics, vol.159, issue.3, pp.1247-1274, 2004.
DOI : 10.4007/annals.2004.159.1247

G. David and . Ebin, The manifold of Riemannian metrics, Global Analysis (Proc. Sympos, pp.11-40, 1968.

M. Gross, D. Huybrechts, and D. Joyce, Calabi-Yau manifolds and related geometries . Universitext, Lectures from the Summer School held in Nordfjordeid, 2001.

A. Grothendieck, Techniques de construction et théorèmes d'existence en géométrie algébrique. IV. Les schémas de Hilbert, In Séminaire Bourbaki Exp. No, vol.6, issue.221, pp.249-276, 1995.

R. Hain, Lectures on Moduli Spaces of Elliptic Curves, 2009.

D. Huybrechts, Products of harmonic forms and rational curves, Doc. Math, vol.6, pp.227-239, 2001.

D. Huybrechts, Complex geometry. Universitext, 2005.

S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol. I. Wiley Classics Library, 1996.

M. Kontsevich, Homological algebra of mirror symmetry On deformations of complex analytic structures. I, II, Proceedings of the International Congress of Mathematicians, pp.120-139328, 1958.

D. [. Kodaira and . Spencer, On Deformations of Complex Analytic Structures, III. Stability Theorems for Complex Structures, The Annals of Mathematics, vol.71, issue.1, pp.43-76, 1960.
DOI : 10.2307/1969879

M. Kuranishi, On the Locally Complete Families of Complex Analytic Structures, The Annals of Mathematics, vol.75, issue.3, pp.536-577, 1962.
DOI : 10.2307/1970211

S. Lang, Fundamentals of differential geometry, volume 191 of Graduate Texts in Mathematics, 1999.

A. Nannicini, Weil-Petersson metric in the moduli space of compact polarized K???hler-Einstein manifolds of zero first Chern class, Manuscripta Mathematica, vol.31, issue.4, pp.405-438, 1986.
DOI : 10.1007/BF01168485

K. Oguiso, Bimeromorphic automorphism groups of non-projective hyperk??hler manifolds???a note inspired by C.T. McMullen, Journal of Differential Geometry, vol.78, issue.1, pp.163-191, 2008.
DOI : 10.4310/jdg/1197320605

K. Oguiso, Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups, Ogu11b] Oguiso, Keiji and Schröer, Stefan. Enriques manifolds, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00858904

G. Schumacher, Moduli of polarized K???hler manifolds, Mathematische Annalen, vol.31, issue.1, pp.137-144, 1984.
DOI : 10.1007/BF01456001

G. Schumacher, On the geometry of moduli spaces, Manuscripta Mathematica, vol.XXXI, issue.1, pp.229-267, 1985.
DOI : 10.1007/BF01168833

Y. Tong and S. , Curvature of the Weil-Petersson metric in the moduli space of compact Kähler-Einstein manifolds of negative first Chern class, Contributions to several complex variables, pp.261-298, 1986.

A. Strominger, S. Yau, and E. Zaslow, Mirror symmetry is T-duality, Nuclear Physics B, vol.479, issue.1-2, pp.243-259, 1996.
DOI : 10.1016/0550-3213(96)00434-8

G. Tian, Smoothness of the universal deformation space of compact Calabi- Yau manifolds and its Petersson-Weil metric, Mathematical aspects of string theory, pp.629-646, 1986.

T. Trenner and P. M. Wilson, Asymptotic Curvature of Moduli Spaces for??Calabi???Yau Threefolds, Journal of Geometric Analysis, vol.15, issue.2, pp.409-428, 2011.
DOI : 10.1007/s12220-010-9152-1

K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Mathematics, vol.439, 1975.
DOI : 10.1007/BFb0070570

R. Vakil, Murphy???s law in algebraic geometry: Badly-behaved deformation spaces, Inventiones mathematicae, vol.164, issue.3, pp.569-590, 2006.
DOI : 10.1007/s00222-005-0481-9

C. Voisin, Théorie de Hodge et géométrie algébrique complexe, of Cours Spécialisés [Specialized Courses]. Société Mathématique de France, 2002.

C. L. Wang, Curvature properties of the Calabi-Yau moduli, Documenta Mathematica, vol.8, pp.577-590, 2003.

P. M. Wilson, Sectional curvatures of K???hler moduli, Mathematische Annalen, vol.107, issue.4, pp.631-664, 2004.
DOI : 10.1007/s00208-004-0563-9

Y. Shing-tung, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I, Comm. Pure Appl. Math, vol.31, issue.3, pp.339-411, 1978.

F. Zheng, Complex differential geometry, AMS/IP Studies in Advanced Mathematics, vol.18, 2000.