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arxiv: 1209.5078 · v1 · pith:J2YEC64Qnew · submitted 2012-09-23 · 🧮 math.DG

Curvature of almost Hermitian manifolds and applications

classification 🧮 math.DG
keywords hermitianmanifoldsalmostcurvatureapplicationsformularesultextend
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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.

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