Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications

Daniel Bustos and Jaime Ripoll

Mathematische Nachrichten, 2023, vol. 296, issue 5, 1737-1761

Abstract: It is proven results about existence and nonexistence of unit normal sections of submanifolds of the Euclidean space and sphere, which associated Gauss maps, are harmonic. Some applications to constant mean curvature hypersurfaces of the sphere and to isoparametric submanifolds are obtained too.

Date: 2023
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