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http://dx.doi.org/10.4134/CKMS.c180060

YAMABE SOLITONS ON KENMOTSU MANIFOLDS  

Hui, Shyamal Kumar (Department of Mathematics The University of Burdwan)
Mandal, Yadab Chandra (Department of Mathematics The University of Burdwan)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 321-331 More about this Journal
Abstract
The present paper deals with a study of infinitesimal CL-transformations on Kenmotsu manifolds, whose metric is Yamabe soliton and obtained sufficient conditions for such solitons to be expanding, steady and shrinking. Among others, we find a necessary and sufficient condition of a Yamabe soliton on Kenmotsu manifold with respect to CL-connection to be Yamabe soliton on Kenmotsu manifold with respect to Levi-Civita connection. We found the necessary and sufficient condition for the Yamabe soliton structure to be invariant under Schouten-Van Kampen connection. Finally, we constructed an example of steady Yamabe soliton on 3-dimensional Kenmotsu manifolds with respect to Schouten-Van Kampen connection.
Keywords
Yamabe soliton; Kenmotsu manifold; infinitesimal CL-transformation; Schouten-Van Kampen connection;
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