Local Rigidity of Convex Hypersurfaces in Spaces of Constant Curvature

In this paper, we prove a local rigidity of convex hypersurfaces in the spaces of constant curvature of dimension $n\ge4$. Namely, we show that two isometric convex hypersurfaces are congruent locally around their corresponding under the isometry points of strict convexity. This result extends the r...

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Bibliographic Details
Date:2026
Main Author: Borisenko, Alexander A.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2026
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1122
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry