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arXiv 2015-07-07 1 views

Isometric deformations of isotropic surfaces

Dajczer, M. · Vlachos, Th.

Original · EN

It was shown by Ramanathan R that any compact oriented non-simply-connected minimal surface in the three-dimensional round sphere admits at most a finite set of pairwise noncongruent minimal isometric immersions. Here we show that this result extends to isotropic surfaces in spheres of arbitrary dimension. The case of non-compact isotropic surfaces in space forms is also addressed.

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