Hypersurfaces with free boundary in a convex conical domain in a space form
Tom 125 / 2020
Annales Polonici Mathematici 125 (2020), 71-81
MSC: Primary 53C24; Secondary 49Q10.
DOI: 10.4064/ap190830-27-12
Opublikowany online: 27 April 2020
Streszczenie
This study presents rigidity results for hypersurfaces with free boundary in a convex conical domain in a space form. Let be a conical domain with a piecewise linear boundary in a space form. A compact hypersurface with free boundary M\subset C is part of a geodesic sphere if either C is convex and M is an embedded and has constant higher order mean curvature, or H_l does not vanish and the ratio H_r/H_{l}, l \lt r, is constant on M.
