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- W1507855771 abstract "Developing A.D. Aleksandrov's ideas, the first-named author of this article proposed the following approach to study of rigidity problems for the boundary of a $C^0$-submanifold in a smooth Riemannian manifold: Let $Y_1$ be a 2-dimensional compact connected $C^0$-submanifold with nonempty boundary in a 2-dimensional smooth connected Riemannian manifold $(X,g)$ without boundary satisfying the condition $$rho_{Y_1}(x,y) = liminf_{x' to x, y' to y, x',y' in mathop{rm Int} Y_1} {[l(gamma_{x',y',mathop{rm Int} Y_1})]} 2$, is also considered." @default.
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- W1507855771 date "2014-01-28" @default.
- W1507855771 modified "2023-09-27" @default.
- W1507855771 title "Rigidity Conditions for the Boundaries of Submanifolds in a Riemannian Manifold" @default.
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