Reduction of the Codimension of Regular Isometric Immersions.
Marcos Dajczer (1982)
Mathematische Zeitschrift
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Marcos Dajczer (1982)
Mathematische Zeitschrift
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Ulrich Koschorke (1979)
Mathematische Zeitschrift
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International Journal of Mathematics and Mathematical Sciences
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Dirk Ferus, Franz Pedit (1996)
Mathematische Annalen
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Decruyenaere, F., Dillen, F., Mihai, I., Verstraelen, L. (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Bulletin of the Polish Academy of Sciences. Mathematics
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Using an inequality related to the mean curvature, we give a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel.
Tazawa, Yoshihiko (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Dirk Ferus (1974)
Mathematische Zeitschrift
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M. Dajczer, M. Do Carmo (1993)
Journal für die reine und angewandte Mathematik
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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.
Robert Gulliver, Friedrich Tomi (1989)
Manuscripta mathematica
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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.
Michèle Audin (1988)
Commentarii mathematici Helvetici
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Kinetsu Abe, Joseph Erbacher (1975)
Mathematische Annalen
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Marcos Dajczer, Lucio Rodriguez (1994)
Mathematische Annalen
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