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

Fuente: arXiv
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Hauptverfasser: Stepanov, Sergey, Tsyganok, Irina
Format: Preprint
Veröffentlicht: 2025
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author Stepanov, Sergey
Tsyganok, Irina
author_facet Stepanov, Sergey
Tsyganok, Irina
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_08366
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the theory of minimal submanifolds and harmonic maps from the point of view of the generalized Bochner technique
Stepanov, Sergey
Tsyganok, Irina
Differential Geometry
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.
title On the theory of minimal submanifolds and harmonic maps from the point of view of the generalized Bochner technique
topic Differential Geometry
url https://arxiv.org/abs/2503.08366