Volume properties and rigidity on self-expanders of mean curvature flow
Sign Up to like & getrecommendations! Published in 2022 at "Geometriae Dedicata"
DOI: 10.1007/s10711-022-00685-8
Abstract: In this paper, we mainly study immersed self-expander hypersurfaces in Euclidean space whose mean curvatures have some linear growth controls. We discuss the volume growths and the finiteness of the weighted volumes. We prove some… read more here.
Keywords: volume properties; self; self expander; self expanders ... See more keywords
Volume properties and some characterizations of ellipsoids in En+1
Sign Up to like & getrecommendations! Published in 2021 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-2009-36
Abstract: Suppose that M is a strictly convex and closed hypersurface in E with the origin o in its interior. We consider the homogeneous function g of positive degree d satisfying M = g−1(1) . Then,… read more here.
Keywords: volume properties; hypersurface; properties characterizations; characterizations ellipsoids ... See more keywords