A note on compact gradient Yamabe solitons

2011/07/19 by Hsu, Shu-Yu · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1107.3769

Abstract

We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.

Cited by

• On the structure of almost Yamabe solitons

Related

• Triviality results for compact k-Yamabe solitons
• On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons
• Triviality results for quasi k-Yamabe solitons
• On a class of complete non-compact gradient Yamabe solitons
• Remarks on scalar curvature of Yamabe solitons