INFINITESIMAL CL-TRANSFORMATIONS ON KENMOTSU MANIFOLDS

Authors

  • Shyamal Kumar Hui Department of Mathematics, The University of Burdwan, Golapbag Campus, West Bengal–713104, India
  • Debabrata Chakraborty Department of Mathematics, Sidho Kanho Birsha University, Purulia–723104, West Bengal, India

Keywords:

Ricci soliton, Kenmotsu manifold, infinitesimal CL-transformation

Abstract

The present paper deals with the study of infinitesimal CL-transformations on Kenmotsu manifolds, whose metric tensor is a Ricci soliton. We obtain the conditions that the Ricci solitons to be expanding, steady and shrinking. Among others we find a necessary and sufficient condition of a Ricci soliton on Kenmotsu manifold with respect to CL-connection to be Ricci soliton on Kenmotsu manifold with respect to Levi-Civita connection.

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Published

2017-09-01

How to Cite

Hui, S. K., & Chakraborty, D. (2017). INFINITESIMAL CL-TRANSFORMATIONS ON KENMOTSU MANIFOLDS. Bangmod International Journal of Mathematical and Computational Science, 3, 1–9. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/51

Issue

Vol. 3 (2017)

Section

Research Article

License

Copyright (c) 2017 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.