4 papers
math.DG2022
Some rigidity properties for -self-expanders
Saul Ancari, Xu Cheng
-self-expanders in are the solutions of the isoperimetric problem with respect to the same weighted area form as in the study of the self-expanders. In th…
math.DG2020
Volume properties and rigidity on self-expanders of mean curvature flow
Saul Ancari, Xu Cheng
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…
math.DG2020
Rigidity theorems for constant weighted mean curvature hypersurfaces
Saul Ancari, Igor Miranda
In this article, we study hypersurfaces with constant weighted mean curvature. Recently, Wei-Peng proved a rigidity theorem for CWMC hypersurfaces that…
math.DG2019
Volume estimates and classification theorem for constant weighted mean curvature hypersurfaces
Saul Ancari, Igor Miranda
In this paper, we prove a classification for complete embedded constant weighted mean curvature hypersurfaces . We characterize the hyperplanes and genera…