Canonical connection and a geometric proof of the Frobenius theorem

Fuente: arXiv
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Autor principal: Yu, Chengjie
Formato: Preprint
Publicado: 2025
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author Yu, Chengjie
author_facet Yu, Chengjie
contents In this paper, we introduce a new canonical connection on Riemannian manifold with a distribution. Moreover, as an application of the connection, we give a geometric proof of the Frobenius theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2504_19092
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Canonical connection and a geometric proof of the Frobenius theorem
Yu, Chengjie
Differential Geometry
In this paper, we introduce a new canonical connection on Riemannian manifold with a distribution. Moreover, as an application of the connection, we give a geometric proof of the Frobenius theorem.
title Canonical connection and a geometric proof of the Frobenius theorem
topic Differential Geometry
url https://arxiv.org/abs/2504.19092