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On almost stable cmc hypersurfaces in manifolds of bounded sectional curvature

Roth, J and Upadhyay, A (2020) On almost stable cmc hypersurfaces in manifolds of bounded sectional curvature. In: Bulletin of the Australian Mathematical Society, 101 (2). pp. 333-338.

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Official URL: https://doi.org/10.1017/S0004972719000935

Abstract

We show that almost stable constant mean curvature hypersurfaces contained in a sufficiently small ball of a manifold of bounded sectional curvature are close to geodesic spheres. © 2019 Australian Mathematical Publishing Association Inc..

Item Type: Journal Article
Publication: Bulletin of the Australian Mathematical Society
Publisher: Cambridge University Press
Additional Information: The copyright for this article belongs to the Authors.
Keywords: geodesic sphere; hypersurface; stable constant mean curvature
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Jan 2023 06:44
Last Modified: 24 Jan 2023 06:44
URI: https://eprints.iisc.ac.in/id/eprint/79387

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