Honam Mathematical Journal (호남수학학술지)

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THE STUDY OF *-RICCI TENSOR ON LORENTZIAN PARA SASAKIAN MANIFOLDS

  • M. R. Bakshi (Department of Mathematics, Salesian College) ;
  • T. Barman (Department of Mathematics, Raiganj University) ;
  • K. K. Baishya (Department of Mathematics, Kurseong College)
  • Received : 2023.05.15
  • Accepted : 2023.09.29
  • Published : 2024.03.20
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Abstract

We consider the *-general critical equation on LP Sasakian manifolds, and show that such a manifold is generalized η-Einstein. After then, we consider LP Sasakian manifolds with *-conformally semisymmetric condition, and show that such manifolds are *-Einstein. Moreover, we show that the *-conformally semisymmetric LP Sasakian manifold is locally isometric to En+1(0) × Sn(4).

Keywords

Acknowledgement

Authors would like to thank the referees for his/her suggestions to improve the manuscript. The second named author gratefully acknowledges UGC (NTA Ref. No. 211610054686), for financial assistance.

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