Geometric realizations of Hermitian curvature models

DOI10.2969/JMSJ/06230851zbMath1205.53016arXiv0812.2743OpenAlexW2552813642WikidataQ58380694 ScholiaQ58380694MaRDI QIDQ5962086

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

Publication date: 16 September 2010

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

Full work available at URL: https://arxiv.org/abs/0812.2743

zbMATH Keywords

scalar curvatureRicci tensorHermitian manifoldGray identityKähler identitystar-Ricci tensorstar-scalar curvatureTricerri-Vanhecke curvature decomposition

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Local Riemannian geometry (53B20)

Related Items (1)

Geometric realizations of affine Kähler curvature models

Cites Work

• Warped product Kähler manifolds and Bochner-Kähler metrics
• Curvature of special almost Hermitian manifolds
• Geometric realizations of curvature models by manifolds with constant scalar curvature
• Curvature identities for Hermitian and almost Hermitian manifolds
• Almost-Hermitian geometry
• The Yamabe problem for almost Hermitian manifolds
• Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds
• Examples of Hermitian manifolds with pointwise constant anti-holomorphic sectional curvature
• Kähler manifolds of quasi-constant holomorphic sectional curvatures
• The twistor space of a dimensional almost Hermitian manifold
• On Einstein Hermitian manifolds
• Conformally Einstein products and nearly Kähler manifolds
• Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor
• Special almost Hermitian geometry
• CURVATURE AND INTEGRABILITY OF AN ALMOST HERMITIAN STRUCTURE
• PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS
• Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
• Curvature Tensors on Almost Hermitian Manifolds
• Compact Hermitian surfaces of constant antiholomorphic sectional curvatures
• Almost Hermitian structures induced from a Kähler structure which has constant holomorphic sectional curvature
• On the Hermitian curvature of symplectic manifolds
• Nonexistence of 4-Dimensional Almost Kaehler Manifolds of Constant Curvature

This page was built for publication: Geometric realizations of Hermitian curvature models