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arXiv · 1606.06755

Uniqueness and non-existence of minimal submanifolds

R. M. Rubio·J. J. Salamanca
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Abstract

We provide uniqueness results for compact minimal submanifolds in a large class of Riemannian manifolds of arbitrary dimension. In the case compact and Cartan-Hadamard manifolds we obtain general results for these submanifolds. Several applications to Geometric Analysis are also showed.

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R. M. Rubio, J. J. Salamanca. 2016-06-21. Uniqueness and non-existence of minimal submanifolds. https://arxiv.org/abs/1606.06755

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