Geometric properties of a sequence of standard minimal immersions between spheres
Ida Cattaneo Gasparini (1999)
Czechoslovak Mathematical Journal
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Ida Cattaneo Gasparini (1999)
Czechoslovak Mathematical Journal
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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.
Hanna Matuszczykowa, Włodzimierz Waliszewski (1980)
Annales Polonici Mathematici
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Tazawa, Yoshihiko (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Decruyenaere, F., Dillen, F., Verstraelen, L., Vrancken, L. (1993)
Beiträge zur Algebra und Geometrie
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Marcos Dajczer (1982)
Mathematische Zeitschrift
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R. E. Goodrick (1980)
Annales Polonici Mathematici
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Mersal, Tarek Fathy, Basher, Mohamed Esmail (2002)
International Journal of Mathematics and Mathematical Sciences
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M. Dajczer, L. L. Rodriguez (1990)
Annales de l'institut Fourier
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A submanifold of the Euclidean space 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.