Seminar: Geometric Characterization of Almost Stable Linear Weingarten Hypersurfaces

Time:

Venue/Location: Phòng B102, VIASM

Seminar: Geometric Characterization of Almost Stable Linear Weingarten Hypersurfaces Báo cáo viên: Abhitosh Upadhyay (Indian Institute of Technology Goa, India)

Tóm tắt: In this talk, I shall consider a class of generalized linear Weingarten hypersurfaces in Euclidean space that exhibit almost stability with respect to the natural stability operator arising from the associated variational problem. We prove that such hypersurfaces must be geodesic spheres. This result provides a rigidity phenomenon under an almost stability assumption, extending classical characterizations of constant mean curvature (cmc) hypersurfaces.