JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 59-64.doi: 10.6040/j.issn.1671-9352.0.2015.505

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Two results on Chens inequalities for spacelike submanifolds of a pseudo-Riemannian space form

SU Man, ZHANG Liang*   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2015-10-30 Online:2016-10-20 Published:2016-10-17

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Abstract: The equality case of the inequality which concerns Chens δ-invariant δM for spacelike submanifolds of a pseudo-Riemannian space form. Then the inequality involving the generalized δ-invariant δ(n1,…,nk) is generalized. Moreover, some examples are provided which satisfy the inequality.

Key words: inequality, Einstein manifold, spacelike submanifold, pseudo-Riemannian space form

CLC Number: 

  • O186
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