Simons type formulas for surfaces in Sol3 and applications

Simons type formulas for surfaces in Sol3 and applications

We compute the Laplacian of the squared norm of the second fundamental form of a surface in Sol3 and then use this Simons type formula to obtain some gap results for compact constant mean curvature surfaces of this space.

Bibliographic Details
Main Author:	Dorel Fetcu
Format:	Article
Language:	English
Published:	World Scientific Publishing 2023-12-01
Series:	Bulletin of Mathematical Sciences
Subjects:	Simons type formulas constant mean curvature surfaces Thurston geometries
Online Access:	https://www.worldscientific.com/doi/10.1142/S1664360723500078

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