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Applications of Riemannian Submersions
2017In 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, 1997The 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
1999A 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, 1990In 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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Pseudo‐projective and quasi‐conformal curvature tensors on Riemannian submersions
Mathematical Methods in the Applied Sciences, 2021Gulhan Ayar
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On a Submersion Between Reinhart Lightlike Manifolds and Semi-Riemannian Manifolds
Mediterranean Journal of Mathematics, 2008Bayram Sahin
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Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion
Lecture Notes in Mathematics, 1985Helmut Reckziegel
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Pointwise slant submersions from almost product Riemannian manifolds
Journal of Interdisciplinary Mathematics, 2020Mahmut Ergüt
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