Open Access
Summer 2016 Some results on compact almost Ricci solitons with null Cotton tensor
A. Barros, I. Evangelista
Illinois J. Math. 60(2): 529-540 (Summer 2016). DOI: 10.1215/ijm/1499760020

Abstract

The aim of this paper is to prove that a compact almost Ricci soliton with null Cotton tensor is isometric to a standard sphere provided one of the following conditions associated to the Schouten tensor holds: the second symmetric function is constant and positive; two consecutive symmetric functions are non null multiple or some symmetric function is constant and the quoted tensor is positive.

Citation

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A. Barros. I. Evangelista. "Some results on compact almost Ricci solitons with null Cotton tensor." Illinois J. Math. 60 (2) 529 - 540, Summer 2016. https://doi.org/10.1215/ijm/1499760020

Information

Received: 16 April 2016; Revised: 29 December 2016; Published: Summer 2016
First available in Project Euclid: 11 July 2017

zbMATH: 1368.53036
MathSciNet: MR3680546
Digital Object Identifier: 10.1215/ijm/1499760020

Subjects:
Primary: 53C20 , 53C21 , 53C25
Secondary: 53C24

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

Vol.60 • No. 2 • Summer 2016
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