Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (6): 1641-1648.

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An Extension of Minkowski Formulae for Free Boundary Hypersurfaces in a Ball

Sheng Weimin(),Wang Yinhang*()   

  1. School of Mathematical Sciences, Zhejiang University, Hangzhou 310058
  • Received:2022-10-31 Revised:2023-08-28 Online:2023-12-26 Published:2023-11-16
  • Supported by:
    NSFC(11971424);NSFC(12031017)

Abstract:

In this article, we prove a generalization of Hsiung-Minkowski formula for free boundary hypersurfaces in a ball in space forms. As corollaries, we obtain some Alexandrov-type results.

Key words: Minkowski formulae, Alexandrov's theorem, Conformal killing vector field

CLC Number: 

  • O186.12
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