Article ID Journal Published Year Pages File Type
7222724 Nonlinear Analysis: Theory, Methods & Applications 2018 15 Pages PDF
Abstract
In this paper, we consider the solitons to the fully nonlinear type Yamabe flows. We prove that any k-Yamabe soliton with positive k-curvature must have constant σk-curvature on closed locally conformally flat manifolds. We also prove that any quotient Yamabe soliton with positive k and l curvatures must have constantσkσl-curvature on closed locally conformally flat manifolds. Similar results are also proved on compact locally conformally flat manifolds with totally geodesic boundary.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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