2 papers
math.DG2025
Local rigidity of convex hypersurfaces in spaces of constant curvature
Alexander A. Borisenko
In this paper, we prove a local rigidity of convex hypersurfaces in the spaces of constant curvature of dimension . Namely, we show that two convex isometric hypersurfaces a…
math.DG2024
Rigidity of convex hypersurfaces, Rigidity of convex hypersurfaces in multidimensional spaces of constant curvature
Alexander A. Borisenko
In 1972, E. P. Senkin generalized the celebrated theorem of A. V. Pogorelov on unique determination of compact convex surfaces by their intrinsic metrics in the Euclidean 3-space $…