Almost Hermitian structures on tangent bundles
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866908276261650432 |
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| author | Satoh, Hiroyasu |
| author_facet | Satoh, Hiroyasu |
| contents | 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 Kähler structures, Kähler structures and Einstein metrics, respectively. Moreover, we give two examples of Kähler-Einstein structures on $TM$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_10824 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Almost Hermitian structures on tangent bundles Satoh, Hiroyasu Differential Geometry 53C55, 53C15, 53C25 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 Kähler structures, Kähler structures and Einstein metrics, respectively. Moreover, we give two examples of Kähler-Einstein structures on $TM$. |
| title | Almost Hermitian structures on tangent bundles |
| topic | Differential Geometry 53C55, 53C15, 53C25 |
| url | https://arxiv.org/abs/1908.10824 |