Results 151 to 160 of about 382 (182)

Redundant Robotic Chains on Riemannian Submersions

IEEE Transactions on Robotics and Automation, 2004
The paper introduces the notion of Riemannian submersion for the modeling and control of certain types of redundant robotic chains. In the robotics literature, the redundant case is normally treated only in numerical terms, as the need to resort to pseudoinversion techniques is usually considered a barrier to the use of analytic or geometric methods ...
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Riemannian Submersions from Quaternionic Manifolds

Acta Applicandae Mathematicae, 2008
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MAZZOCCO, Renzo, IANUS S, VILCU G. E.
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Bounded Riemannian submersions

Indiana University Mathematics Journal, 2000
The paper studies some global metric properties of a Riemannian submersion on a compact manifold for which the fundamental tensors are bounded in norm. A motivation is given by a result of \textit{G. Perelman} [J. Differ. Geom. 40, 209-212 (1994; Zbl 0818.53056)], who proved that the metric projection of an open manifold of nonnegative sectional ...
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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, Fatemah Mofarreh, Mehmet Akif Akyol   +2 more
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Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion

Lecture Notes in Mathematics, 1985
Helmut Reckziegel, Reckziegel Helmut
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On a Submersion Between Reinhart Lightlike Manifolds and Semi-Riemannian Manifolds

Mediterranean Journal of Mathematics, 2008
Bayram Şahin, Şahin Bayram
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