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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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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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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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Generic Riemannian Submersions from Almost Product Riemannian
2017In this paper, we define and study generic Riemannian submersions from almost productRiemannian manifolds onto Riemannian manifolds. We give an example, investigate thegeometry of foliations which are arisen from the definition of a Riemannian submersion.
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