A Note on compact hypersurfaces in a Euclidean space

作者：Deshmukh Sharief^*

来源：Comptes Rendus Mathematique, 2012, 350(21-22): 971-974.

DOI：10.1016/j.crma.2012.10.027

In this Note, we show that the presence of a unit Killing vector field on an orientable compact hypersurface of a Euclidean space with shape operator A and induced metric g such that g(A xi, xi )is a constant, renders it to be a round sphere and also influences the dimension of the ambient Euclidean space. 2012 Academie des sciences. Published by Elsevier Masson SAS.

• 出版日期2012-11