On the theory of minimal submanifolds and harmonic maps from the point of view of the generalized Bochner technique

Sergey Stepanov; Irina Tsyganok

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arXiv · 2503.08366

On the theory of minimal submanifolds and harmonic maps from the point of view of the generalized Bochner technique

Sergey Stepanov·Irina Tsyganok

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Abstract

In the present paper, we study harmonic mappings of complete Riemannian manifolds, as well as minimal and stable minimal submanifolds of complete Riemannian manifolds. We examine classical theorems in the theory of these manifolds from the perspective of the generalized Bochner technique.

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Sergey Stepanov, Irina Tsyganok. 2025-03-11. On the theory of minimal submanifolds and harmonic maps from the point of view of the generalized Bochner technique. https://arxiv.org/abs/2503.08366

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