A contribution of the generalized bochner technique to the geometry of complete minimal submanifolds

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Abstract

In this paper, based on methods of the Bochner technique, which is an important part of the geometric analysis, we establish conditions under which minimal and stable minimal submanifolds in Riemannian manifolds are characterized as totally geodesic submanifolds.

About the authors

Sergey E. Stepanov

Russian Institute for Scientific and Technical Information of the Russian Academy of Sciences; Financial University under the Government of the Russian Federation

Author for correspondence.
Email: s.e.stepanov@mail.ru
Russian Federation, Moscow; Moscow

Irina I. Tsyganok

Financial University under the Government of the Russian Federation

Email: i.i.tsyganok@mail.ru
Russian Federation, Moscow

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