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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


On The Existence of Yamabe Gradient Solitons

On The Existence of Yamabe Gradient Solitons

Yadab Chandra Mandal
Department of Mathematics, The University of Burdwan Golapbag, Burdwan -713104, West Bengal, India.

Shyamal Kumar Hui
Department of Mathematics, The University of Burdwan Golapbag, Burdwan -713104, West Bengal, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2018.3.4-035

Received on February 14, 2018
  ;
Accepted on April 08, 2018

Abstract

The Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of Yamabe gradient solitons on 4-dimensional Riemannian manifold are ensured by some interesting examples.

Keywords- Yamabe gradient soliton, Riemannian manifold.

Citation

Mandal, Y. C., & Hui, S. K. (2018). On The Existence of Yamabe Gradient Solitons. International Journal of Mathematical, Engineering and Management Sciences, 3(4), 491-497. https://dx.doi.org/10.33889/IJMEMS.2018.3.4-035.