Datar, V and Seshadri, H and Song, J (2021) Metric rigidity of kähler manifolds with lower ricci bounds and almost maximal volume. In: Proceedings of the American Mathematical Society, 149 (8). pp. 3569-3574.
Full text not available from this repository.Abstract
In this short note we prove that a Kähler manifold with lower Ricci curvature bound and almost maximal volume is Gromov-Hausdorff close to the projective space with the Fubini-Study metric. This is done by combining the recent results on holomorphic rigidity of such Kähler manifolds (see Gang Liu Asian J. Math. 18 (2014), 69�99) with the structure theorem of Tian-Wang (see Gang Tian and Bing Wang J. Amer. Math. Soc 28 (2015), 1169�1209) for almost Einstein manifolds. This can be regarded as the complex analog of the result on Colding on the shape of Riemannian manifolds with almost maximal volume. © 2021 American Mathematical Society
| Item Type: | Journal Article |
|---|---|
| Publication: | Proceedings of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| Additional Information: | The copyright for this article belongs to American Mathematical Society |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Aug 2021 06:04 |
| Last Modified: | 27 Aug 2021 06:04 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69352 |
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