Honam Mathematical Journal (호남수학학술지)

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GENERALIZED CHEN INEQUALITY FOR CR-WARPED PRODUCTS OF LOCALLY CONFORMAL KÄHLER MANIFOLDS

  • Harmandeep Kaur (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Gauree Shanker (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Ramandeep Kaur (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Abdulqader Mustafa (Department of Mathematics, Palestine Technical University)
  • Received : 2023.05.08
  • Accepted : 2023.09.29
  • Published : 2024.03.20
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Abstract

The purpose of the Nash embedding theorem was to take extrinsic help for studying the intrinsic Riemannian geometry. To realize this aim in actual practice there is a need for optimal relationships between the known intrinsic invariants and the main extrinsic invariants for Riemannian submanifolds. This paper aims to provide an optimal relationship for CR-warped product submanifolds of locally conformal Kähler manifolds.

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Acknowledgement

The first author is thankful to UGC for providing financial assistance in terms of the JRF scholarship vide NTA Ref. No.: 201610070797(CSIR-UGC NET June 2020). The second author is thankful to the Department of Science and Technology (DST) Government of India for providing financial assistance in terms of the FIST project (TPN-69301) vide the letter with Ref. No.: (SR/FST/MS-1/2021/104).

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