Almost Hermitian structures on tangent bundles

Hiroyasu Satoh

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arXiv · 1908.10824

Almost Hermitian structures on tangent bundles

Hiroyasu Satoh

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Abstract

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 $TM$.

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BibTeX RIS

Hiroyasu Satoh. 2019-08-28. Almost Hermitian structures on tangent bundles. https://arxiv.org/abs/1908.10824

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