Acta mathematica scientia,Series B ›› 2023, Vol. 43 ›› Issue (1): 51-62.doi: 10.1007/s10473-023-0104-9

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DE RHAM DECOMPOSITION FOR RIEMANNIAN MANIFOLDS WITH BOUNDARY*

Chengjie YU   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • Received:2021-09-15 Revised:2022-06-29 Published:2023-03-01
  • About author:Chengjie YU,E-mail: cjyu@stu.edu.cn
  • Supported by:
    *Research partially supported by GDNSF (2021A1515010264) and NNSF of China (11571215).

Abstract: In this paper, we extend the classical de Rham decomposition theorem to the case of Riemannian manifolds with boundary by using the trick of the development of curves.

Key words: de Rham decomposition, parallel distribution, development of curve

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