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UNIFORM LIPSCHITZ CONTINUITY OF THE ISOPERIMETRIC PROFILE OF COMPACT SURFACES UNDER NORMALIZED RICCI FLOW

Zheng, YZ

Zheng, YZ (corresponding author), Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clearwater Bay, Hong Kong, Peoples R China.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (5): 2105

Abstract

We show that the isoperimetric profile h(g(t) )(xi) of a compact Riemannian manifold (M, g) is jointly continuous when metrics g(t) vary continuously.......

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