Abstract
In this paper we establish the generalized Simons equation satisfied by the square norm of the second fundamental form of a general immersion. We then specialize this equation to the case of a minimal immersion in a conformal flat manifold and use this to obtain an application for closed embedded self-shrinkers in \({\mathbb{R}^{n + 1}}\) .
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This work was completed with the support of CNPq-Brazil.
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Vasquez, C.J.C. Minimal hypersurfaces in conformally flat spaces. J. Geom. 106, 363–382 (2015). https://doi.org/10.1007/s00022-014-0253-z
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DOI: https://doi.org/10.1007/s00022-014-0253-z