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arXiv · 2012.05864

The preservability of the curvature-adaptedness along the mean curvature flow

Naoyuki Koike
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Abstract

In this paper, we investigate the preservability of the curvature-adaptedness along the mean curvature flow starting from a compact curvature-adapted hypersurface in locally symmetric spaces, where the curvature-adaptedness means that the shape operator and the normal Jacobi operator of the hypersurface commute.

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Naoyuki Koike. 2020-12-10. The preservability of the curvature-adaptedness along the mean curvature flow. https://arxiv.org/abs/2012.05864

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