Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold

DOI10.1515/ADVGEOM.2008.023zbMath1180.53030arXivmath/0611605OpenAlexW2064844586WikidataQ58380731 ScholiaQ58380731MaRDI QIDQ3529880

Eduardo García-Río, Peter B. Gilkey, Miguel Brozos-Vázquez

Publication date: 14 October 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611605

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

Symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvatures ⋮ Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators ⋮ Complex Osserman Kähler manifolds in dimension four ⋮ Geometric realizations of Hermitian curvature models

Cites Work

• Some integrability conditions for almost Kähler manifolds
• On nearly-Kähler geometry
• Complex analytic coordinates in almost complex manifolds
• Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kähler
• Four-dimensional almost Kähler Einstein manifolds
• On some compact Einstein almost Kähler manifolds
• Curvature identities for Hermitian and almost Hermitian manifolds
• Local models and integrability of certain almost Kähler 4-manifolds
• New Examples of Strictly Almost Kahler Manifolds
• Examples of Compact Non-Kahler almost Kahler Manifolds
• Curvature Tensors on Almost Hermitian Manifolds
• Almost Hermitian structures induced from a Kähler structure which has constant holomorphic sectional curvature
• Vector Cross Products on Manifolds

This page was built for publication: Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold