Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222724 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 15 Pages |
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 Ïk-curvature on closed locally conformally flat manifolds. We also prove that any quotient Yamabe soliton with positive k and l curvatures must have constantÏkÏl-curvature on closed locally conformally flat manifolds. Similar results are also proved on compact locally conformally flat manifolds with totally geodesic boundary.
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Authors
Leyang Bo, Pak Tung Ho, Weimin Sheng,