Results 101 to 110 of about 140 (130)

Riemannian Submersions and Submanifolds

2004
exaly   +2 more sources

A Metric Characterization of Riemannian Submersions

Annals of Global Analysis and Geometry, 2000
According to the first author [Sib. Math. J. 28, No. 4, 552-562 (1987; Zbl 0643.53053); translation from Sib. Mat. Zh. 28, No. 4(164), 44-56 (1987)], a map between metric spaces is a submetry if it sends closed balls around a point to closed balls of the same radius, around the image point.
Berestovskij, V. N., Guijarro, Luis
openaire   +1 more source

Integrable Riemannian Submersion with Singularities

Geometriae Dedicata, 2004
It is proven that regular level sets of an analytic transnormal map on a real analytic complete Riemannian manifold are equifocal submanifolds and leaves of a singular Riemannian foliation with sections. Equifocal submanifolds are generalizations of isoparametric submanifolds and isoparametric hypersurfaces.
openaire   +2 more sources

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 ...
openaire   +2 more sources

Riemannian Submersions from Quaternionic Manifolds

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MAZZOCCO, Renzo, IANUS S, VILCU G. E.
openaire   +2 more sources

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 ...
openaire   +2 more sources

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 ...
openaire   +2 more sources

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 ...
openaire   +1 more source

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.
openaire   +1 more source

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...
openaire   +1 more source