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JP Journal of Geometry and Topology

JP Journal of Geometry and Topology
Volume 21, Issue 1, Pages 75 - 83 (February 2018)
http://dx.doi.org/10.17654/GT021010075

CERTAIN METRIC PROPERTIES OF LEVEL HYPERSURFACES

Pisheng Ding

Abstract:

This paper establishes several integral identities relating certain metric properties of level hypersurfaces of Morse functions.

Keywords and phrases:

mean curvature, Gaussian curvature, volume, hypersurface, level set, Morse function.

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