Remarks on certain classes of four-dimensional almost Hermitian manifolds

Takashi Oguro

doi:nihmj/1604718023

Abstract

We observe the curvature of four-dimensional almost Hermitian manifolds satisfying each of the three conditions by Gray. Further, we apply the obtained results to the integrability of certain classes of four-dimensional almost Kähler manifolds.

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Takashi Oguro. "Remarks on certain classes of four-dimensional almost Hermitian manifolds." Nihonkai Math. J. 31 (1) 27 - 34, 2020.

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Received: 5 September 2019; Revised: 11 June 2020; Published: 2020

First available in Project Euclid: 7 November 2020

MathSciNet: MR4172693

Subjects:

Primary: 53C15

Secondary: 53C55

Keywords: Almost Hermitian manifold , almost Kähler Manifold , weakly $*$-Einstein Manifold

Abstract

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