A note on compact gradient Yamabe solitons
Copyright policy )A note on compact gradient Yamabe solitons
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.
3 pages
Mathematics - Differential Geometry, Applied Mathematics, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Constant scalar curvature metric, compact gradient Yamabe soliton, Mathematics - Analysis of PDEs, constant scalar curvature metric, Differential Geometry (math.DG), Compact gradient Yamabe soliton, Yamabe flow, FOS: Mathematics, Nonlinear parabolic equations, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Analysis, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Applied Mathematics, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Constant scalar curvature metric, compact gradient Yamabe soliton, Mathematics - Analysis of PDEs, constant scalar curvature metric, Differential Geometry (math.DG), Compact gradient Yamabe soliton, Yamabe flow, FOS: Mathematics, Nonlinear parabolic equations, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Analysis, Analysis of PDEs (math.AP)
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