Displaying similar documents to “An immersion of a differential space in a Cartesian 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.

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.