Displaying similar documents to “Geometric properties of a sequence of standard minimal immersions between spheres”

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.

On Veronese-Borůvka spheres

Katsuei Kenmotsu (1997)

Archivum Mathematicum

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In this paper, history of reserches for minimal immersions from constant Gaussian curvature 2-manifolds into space forms is explained with special emphasis of works of O. Borůvka. Then recent results for the corresponding probrem to classify minimal immersions of such surfaces in complex space forms are discussed.