Journal of University of Science and Technology of China ›› 2020, Vol. 50 ›› Issue (3): 312-316.DOI: 10.3969/j.issn.0253-2778.2020.03.008

• Original Paper • Previous Articles     Next Articles

Biharmonic submanifolds with mean parallel curvature on Mm(c)×R

  

  1. MI Rong
  • Received:2019-04-20 Revised:2019-07-12 Accepted:2019-07-12 Online:2020-03-31 Published:2019-07-12
  • About author:Mi Rong, female, born in 1993, a doctoral candidate. Research field: differential geometry. E-mail: mr8231227@163.com.

Abstract: Let Mn be an n-dimensional submanifold with parallel mean curvature H of product space form Mm(c)×R, where Mm(c) is a space form with constant sectional curvature c. By using the method of Simons inequality, a series of results are obtained.

Key words: biharmonic submanifold, with parallel mean curvature, product space form

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