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arXiv · 2205.00736

Simons type formulas for surfaces in Sol_3 and applications

Dorel Fetcu
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Abstract

We compute the Laplacian of the squared norm of the second fundamental form of a surface in Sol_3 and then use this Simons type formula to obtain some gap results for compact constant mean curvature surfaces of this space.

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Dorel Fetcu. 2022-05-02. Simons type formulas for surfaces in Sol_3 and applications. https://arxiv.org/abs/2205.00736

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