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arXiv:1908.10824 [math.DG]AbstractReferencesReviewsResources

Almost Hermitian structures on tangent bundles

Hiroyasu Satoh

Published 2019-08-28Version 1

In this article, we consider the almost Hermitian structure on $TM$ induced by a pair of a metric and an affine connection on $M$. We find the conditions under which $TM$ admits almost K\"ahler structures, K\"ahler structures and Einstein metrics, respectively. Moreover, we give two examples of K\"ahler-Einstein structures on $TM$.

Journal: Proceedings of the Eleventh International Workshop on Differential Geometry, 105-118, Kyungpook Nat. Univ., Taegu, 2007
Categories: math.DG
Subjects: 53C55, 53C15, 53C25
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