Results 151 to 160 of about 414 (184)
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Robotics and Autonomous Systems, 2009
The search for a simple and accurate odometry is a main concern when working with mobile robots. This article presents a general analysis of the problem and proposes a particular solution to improve the odometry. The three crucial kinematical aspects of mobile robots (mobility, control, and positioning) are reviewed in detail for vehicles based both in
Joaquim A. Batlle, Ana Barjau
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The search for a simple and accurate odometry is a main concern when working with mobile robots. This article presents a general analysis of the problem and proposes a particular solution to improve the odometry. The three crucial kinematical aspects of mobile robots (mobility, control, and positioning) are reviewed in detail for vehicles based both in
Joaquim A. Batlle, Ana Barjau
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Metrics with Exceptional Holonomy
The Annals of Mathematics, 1987From the author's abstract ``It is proved that there exist metrics with holonomy \(G_ 2\) and Spin(7), thus settling the remaining cases in Berger's list of possible holonomy groups. We first reformulate the ``holonomy H'' condition as a set of differential equations for an associated H-structure on a given manifold.
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Journal of Physics A: Mathematical and General, 1989
A (faithful) density matrix can be represented by a Hilbert-Schmidt operator up to composition with a unitary operator. This ambiguity can be described in terms of a principal fibre bundle which is a modification of a construction by Uhlmann (1986). The HS norm provides a real metric which determines a natural connection via the Kaluza-Klein mechanism.
Dabrowski, Ludwik, JADCZYK A.
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A (faithful) density matrix can be represented by a Hilbert-Schmidt operator up to composition with a unitary operator. This ambiguity can be described in terms of a principal fibre bundle which is a modification of a construction by Uhlmann (1986). The HS norm provides a real metric which determines a natural connection via the Kaluza-Klein mechanism.
Dabrowski, Ludwik, JADCZYK A.
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1983
Recall that by a “foliation without holonomy” we mean a foliation all of whose leaves have trivial holonomy. The main topics of this chapter are to show that a foliation without holonomy on a compact manifold M is obtained by an equivariant fibration (with orientation preserving holonomy group), to make an approach to a topological ...
Gilbert Hector, Ulrich Hirsch
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Recall that by a “foliation without holonomy” we mean a foliation all of whose leaves have trivial holonomy. The main topics of this chapter are to show that a foliation without holonomy on a compact manifold M is obtained by an equivariant fibration (with orientation preserving holonomy group), to make an approach to a topological ...
Gilbert Hector, Ulrich Hirsch
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On the Transitivity of Holonomy Systems
The Annals of Mathematics, 1962Abstract : A classification of possible candidates for the holonomy groups of manifolds having affine connections with zero torsion discloses only groups transitive on the unit sphere in the tangent space of the manifold, except in the case where the manifold is a symm ric space of rank greater than or equal to 2.
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