JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 56-63.doi: 10.6040/j.issn.1671-9352.0.2016.607

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Chen-Ricci inequalities for submanifolds of generalized Sasakian space forms with a semi-symmetric metric connection

HE Guo-qing1, ZHANG Liang1, LIU Hai-rong2   

  1. 1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China;
    2. School of Science, Nanjing Forestry University, Nanjing 210037, Jiangsu, China
  • Received:2016-12-30 Online:2017-10-20 Published:2017-10-12

Abstract: We establish Chen-Ricci inequalities for submanifolds of generalized Sasakian space forms endowed with a semi-symmetric metric connection. These inequalities give relationships between the squared mean curvature and certain intrinsic invariants involving the Ricci curvature and the k-Ricci curvature with respect to the induced semi-symmetric metric connection of submanifolds.

Key words: generalized Sasakian space forms, semi-symmetric metric connection, Chen-Ricci inequalities

CLC Number: 

  • O186.12
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