Fibrations and fundamental groups of Kähler–Weyl manifolds

DOI10.1090/S0002-9939-09-10110-7zbMath1192.32012arXiv0811.1952WikidataQ126187279 ScholiaQ126187279MaRDI QIDQ3550574

No author found.

Publication date: 31 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1952

zbMATH Keywords

fundamental grouptwistor spaceVaisman manifoldlocally conformal Kähler structurepluri-Kähler-Weyl manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Twistor methods in differential geometry (53C28) Differential geometric aspects of harmonic maps (53C43) Topological aspects of complex manifolds (32Q55) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic maps on manifolds (58C10)

Related Items (7)

Homogeneous 4-dimensional Kähler-Weyl structures ⋮ Almost complex structures on hyperbolic manifolds ⋮ Locally conformally Kähler manifolds admitting a holomorphic conformal flow ⋮ Locally conformally symplectic and Kähler geometry ⋮ (para)-Kähler Weyl Structures ⋮ Derived equivalence and fibrations over curves and surfaces ⋮ A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic mappings of Kähler manifolds to locally symmetric spaces
• Volume and bounded cohomology
• Quaternionic Kaehler manifolds
• Propriétés globales de l'espace de twisteurs. (Global properties of twistor spaces)
• Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
• The existence of anti-self-dual conformal structures
• On compact Kähler surfaces
• Locally conformal Kähler geometry
• Some curious Kleinian groups and hyperbolic 5-manifolds
• Parallelizable 4-manifolds without complex structure whose twistor space is complex.
• Locally homogeneous complex manifolds
• Vanishing theorems for quaternionic Kähler manifolds
• A report on locally conformally K\"ahler manifolds
• Fundamental classes not representable by products
• Espaces De Twisteurs KäHléRiens En Dimension 4k , k > 1
• On Locally and Globally Conformal Kahler Manifolds
• Kählerian Twistor Spaces
• Self-duality in four-dimensional Riemannian geometry
• On pseudo-harmonic maps in conformal geometry

This page was built for publication: Fibrations and fundamental groups of Kähler–Weyl manifolds