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math.DG2019★ 2 cited
Uniqueness of self-similar solutions to flows by quotient curvatures
Li Chen, Shanze Gao
In this paper, we consider a family of closed hypersurfaces which shrink self-similarly with speed of quotient curvatures. We show that the only such hypersurfaces are shrinking sp…
math.DG2019★ 1 cited
Characterizations of umbilic hypersurfaces in warped product manifolds
Shanze Gao, Hui Ma
We consider closed orientable hypersurfaces in a wide class of warped product manifolds, which include space forms, deSitter-Schwarzschild and Reissner-Nordström manifolds. By usin…