Conformal Riemannian morphisms between Riemannian manifolds

RB Yadav; Srikanth KV

doi:10.18311/jims/2022/26408

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arXiv · 1804.06569

Conformal Riemannian morphisms between Riemannian manifolds

RB Yadav·Srikanth KV

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Abstract

In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of an isometric immersion, a Riemannian submersion, an isometry, a Riemannian map and a conformal Riemannian map. We show that every injective conformal Riemannian morphism is an injective conformal immersion, and that on a connected manifold, every surjective conformal Riemannian morphism is a surjective conformal submersion, and every bijective conformal Riemannian morphism is a conformal map.

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BibTeX RIS

RB Yadav, Srikanth KV. 2018-04-18. Conformal Riemannian morphisms between Riemannian manifolds. https://doi.org/10.18311/jims/2022/26408

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