Curvature of almost Hermitian manifolds and applications

Abstract

In this paper, by introducing a notion of local quasi holomorphic frame, we obtain a curvature formula for almost Hermitian manifolds which is similar to that of Hermitian manifolds. Moreover, as applications of the curvature formula, we extend a result of H.S. Wu and a result of F. Zheng to almost Hermitian manifolds.

15 pages

References in corpus (3)

• Taming symplectic forms and the Calabi-Yau equation
• A generalization of the normal holomorphic frames in Symplectic Manifolds
• Product of Almost-Hermitian Manfolds

Cited by in corpus (1)

• Curvature identities on almost Hermitian manifolds and applications