Structures géométriques holomorphes sur les variétés complexes compactes

DOI10.1016/S0012-9593(01)01070-9zbMath1016.32012OpenAlexW1988476779MaRDI QIDQ2757192

Sorin Dumitrescu

Publication date: 30 July 2003

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2001_4_34_4_557_0

zbMATH Keywords

rigiditygeometric structuresKähler manifoldscompact complex manifoldsholomorphic Riemannian metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Other complex differential geometry (53C56) Almost homogeneous manifolds and spaces (32M12)

Related Items (14)

Geometric structures on curves and complex surfaces ⋮ Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds ⋮ Singular codimension one foliations, Galois groupoid and first integrals ⋮ Holomorphic Riemannian metrics on compact threefolds are locally homogeneous ⋮ An Invitation to Quasihomogeneous Rigid Geometric Structures ⋮ Connexions affines et projectives sur les surfaces complexes compactes ⋮ Complex geometry of moment-angle manifolds ⋮ Holomorphic projective connections on compact complex threefolds ⋮ Fujiki class 𝒞 and holomorphic geometric structures ⋮ A Bochner principle and its applications to Fujiki class 𝒞 manifolds with vanishing first Chern class ⋮ Holomorphic Cartan geometries on complex tori ⋮ Métriques riemanniennes holomorphes en petite dimension. (Holomorphic Riemannian metrics in small dimension) ⋮ Killing fields of holomorphic Cartan geometries ⋮ Holomorphic Riemannian metric and the fundamental group

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