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Applications of Riemannian Submersions

2017
In this chapter, we give two applications of Riemannian submersions and it consists of two sections. In the first section, we give an application of Riemannian submersions in robotic theory [12]. To this aim, we first define Lie groups and give basic properties of such manifolds, then we give applications of Riemannian submersions in redundant robotic ...
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Riemannian Submersions and Riemannian Manifolds with Einstein--Weyl Structures

Geometriae Dedicata, 1997
The author proves two theorems. Theorem 1. Let \(\pi :M\to N\) be a non-trivial Riemannian submersion with totally geodesic fibers of dimension 1 over an Einstein manifold \(N\). If \(M\) is compact and admits a standard Einstein-Weyl structure with constant Einstein-Weyl function, then \(N\) admits a Kähler structure and \(M\) a Sasakian structure ...
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On Semi-Riemannian Submersions

1999
A generalization of semi-Riemannian submersions allowing degenerate submanifolds as fibres is given by making an application of semi-Riemannian maps to submersions. Also a fundamental equation of a regular semi-Riemannian submersion is obtained.
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Riemannian submersions of brownian motions

Stochastics and Stochastic Reports, 1990
In this paper it is shown that under some very mild and natural conditions the Riemannian submersion of Brownian motion is an autonomous diffusion with a drift proportional to the mean curvature of...
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η-Ricci–Yamabe Solitons along Riemannian Submersions

Axioms, 2023
Mohd Danish Siddiqi   +2 more
exaly  

Pseudo‐projective and quasi‐conformal curvature tensors on Riemannian submersions

Mathematical Methods in the Applied Sciences, 2021
Gulhan Ayar
exaly  

On a Submersion Between Reinhart Lightlike Manifolds and Semi-Riemannian Manifolds

Mediterranean Journal of Mathematics, 2008
Bayram Sahin
exaly  

Pointwise slant submersions from almost product Riemannian manifolds

Journal of Interdisciplinary Mathematics, 2020
Mahmut Ergüt
exaly  

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