Journal of Jilin University Science Edition

Previous Articles     Next Articles

Chen Inequalities for Submanifolds of Generalized SasakianSpace Forms with a Semi-symmetric Metric Connection

HE Guoqing1, ZHANG Liang1, LIU Hairong2   

  1. 1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China;2. School of Science, Nanjing Forestry University, Nanjing 210037, China
  • Received:2016-02-21 Online:2016-11-26 Published:2016-11-29
  • Contact: HE Guoqing E-mail:wh_hgq@126.com

Abstract: Using algebraic techniques, we established Chen inequalities for submanifolds of generalized Sasakian space forms with a semi-symmetric metric connection, and gave relationships between the mean curvature associated with a semisymmetric metric connection and certain intrinsic invariants involving the sectional and scalar curvatures of submanifolds.

Key words: Chen inequalities; generalized Sasakian space form; , semi-symmetric metric connection

CLC Number: 

  • O186.12