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Triviality results for compact k-Yamabe solitons

Authors :
Tokura, Willian
Batista, Elismar
Publication Year :
2020

Abstract

In this paper, we show that any compact gradient k-Yamabe soliton must have constant $\sigma_k$-curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be gradient.

Subjects

Subjects :
Mathematics - Differential Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2006.00501
Document Type :
Working Paper

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