Open Access
October 2017 Classification results of quasi Einstein solitons
Shu Yau Huang, Lin Feng Wang
Kodai Math. J. 40(3): 638-647 (October 2017). DOI: 10.2996/kmj/1509415238

Abstract

We classify $(ρ,τ)$-quasi Einstein solitons with $(a,τ)$-concurrent vector fields. We also give a necessary and sufficient condition for a submanifold to be a $(ρ,τ)$-quasi Einstein soliton in a Riemannian manifold equipped with an $(a,τ)$-concurrent vector field.

Funding Statement

The authors were supported by the NSF of Jiangsu Province (BK20141235).

Citation

Download Citation

Shu Yau Huang. Lin Feng Wang. "Classification results of quasi Einstein solitons." Kodai Math. J. 40 (3) 638 - 647, October 2017. https://doi.org/10.2996/kmj/1509415238

Information

Received: 16 January 2017; Revised: 20 February 2017; Published: October 2017
First available in Project Euclid: 31 October 2017

zbMATH: 06827109
MathSciNet: MR3718503
Digital Object Identifier: 10.2996/kmj/1509415238

Subjects:
Primary: 53C21

Keywords: concurrent vector field , quasi Einstein soliton , umbilical submanifold

Rights: Copyright © 2017 Tokyo Institute of Technology, Department of Mathematics

Vol.40 • No. 3 • October 2017
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