2 papers
math.DG2026
An Alexandrov-type theorem in warped product manifolds with radial density
Jinchuan Bai, Chao Xia
In this paper, we establish a Heintze--Karcher inequality for closed embedded hypersurfaces in a class of warped product manifolds endowed with radial density. As a consequence, we…
math.DG2026
Mass--Capacity Inequalities in Asymptotically Flat Half-Spaces
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to -capacitary functions in -dimensional asymptotically flat half-spaces…