Ricci Solitons on Kenmotsu Manifolds under $D$-Homothetic Deformation

Document Type : Original Article

Authors

Halammanavar G. Nagaraja ¹

Devasandra L. Kiran Kumar ¹

Venkateshmurthy S. Prasad ²

¹ Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru, 560 056, INDIA.

² Department of Mathematics, Regional institute of Education (NCERT), Manasagangotri, Mysore, 570006, INDIA.

10.22034/kjm.2018.57725

Abstract

The aim of the present paper is to study   Ricci solitons in Kenmotsu manifolds under $D$-homothetic deformation.  We analyzed   behaviour of Ricci solitons  when potential vector field  is orthogonal to  Reeb vector field and   pointwise collinear with Reeb vector field.  Further we  prove Ricci solitons in $D$-homothetically transformed Kenmotsu manifolds are shrinking.

Subjects

• 53 Differential geometry

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