Displaying similar documents to “Unique isometric immersion into hyperbolic space.”

Infinitesimal rigidity of Euclidean submanifolds

M. Dajczer, L. L. Rodriguez (1990)

Annales de l'institut Fourier

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A submanifold M n of the Euclidean space R n is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.

Isometric immersions and induced geometric structures

D‘Ambra, G.

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In the paper under review, the author presents some results on the basis of the Nash-Gromov theory of isometric immersions and illustrates how the same results and ideas can be extended to other structures.

Natural first order Lagrangians for immersions

Jerzy J. Konderak (1998)

Annales Polonici Mathematici

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We define natural first order Lagrangians for immersions of Riemannian manifolds and we prove a bijective correspondence between such Lagrangians and the symmetric functions on an open subset of m-dimensional Euclidean space.