THE STRUCTURE OF THE SPACE OF AFFINE KÄHLER CURVATURE TENSORS AS A COMPLEX MODULE

DOI10.1142/S0219887811005981zbMath1250.53012arXiv1105.0185OpenAlexW3099795964WikidataQ58380690 ScholiaQ58380690MaRDI QIDQ2891201

Miguel Brozos-Vázquez, Peter B. Gilkey, Stana Ž. Nikčević

Publication date: 13 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0185

zbMATH Keywords

affine curvature tensoraffine Kähler curvature tensorKähler curvature tensorMatzeu-Nikcevic decompositionmodule over the general linear groupmodule over the unitary group

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Local differential geometry of Hermitian and Kählerian structures (53B35) Linear and affine connections (53B05)

Related Items (1)

(para)-Kähler Weyl Structures

Cites Work

• Geometric realizations of affine Kähler curvature models
• Geometric realizations, curvature decompositions, and Weyl manifolds
• Examples of asymptotically conical Ricci-flat Kähler manifolds
• On the existence and nonexistence of extremal metrics on toric Kähler surfaces
• On paraquaternionic submersions between paraquaternionic Kähler manifolds
• Eigenvalue estimates for the Dirac operator on Kähler-Einstein manifolds of even complex dimension
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Curvature identities for Hermitian and almost Hermitian manifolds
• Decomposition of the curvature tensor of hyper-Kähler manifolds
• Pseudo-hyperkähler geometry and generalized Kähler geometry
• Geometric theory of equiaffine curvature tensors
• GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS
• ON LOCAL F-THEORY GEOMETRIES AND INTERSECTING D7-BRANES

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