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Unit tangent bundle

About: Unit tangent bundle is a research topic. Over the lifetime, 1056 publications have been published within this topic receiving 15845 citations.


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TL;DR: In this paper, the authors defined a new almost complex structure with Norden metric (hyperbolic metric) on the tangent bundle TM of an n-dimensional Riemannian manifold M.
Abstract: It is defined a new almost complex structure with Norden metric (hyperbolic metric) on the tangent bundle TM of an n—dimensional Riemannian manifold M. Next, the conditions under which the considered almost complex structure with Norden metric belongs to one of the eight classes of almost complex manifolds with Norden metric obtained by G. T. Ganchev and D. V. Borisov in the classification from [2] there are studied.

4 citations

Journal ArticleDOI
TL;DR: In this paper, the equivalence between the Riemannian foliation and the lifted foliation on the bundle of r-transverse jets is proved for r ⩾ 1.

4 citations

Journal ArticleDOI
TL;DR: In this paper, the most general set of constraints on the curvatures of the tangent bundle and on the spinor bundle of the space-time manifold, under which spacetime admits Dirac eigenvalues as observables, are derived.
Abstract: We generalize a previous work on Dirac eigenvalues as dynamical variables of Euclidean supergravity. The most general set of constraints on the curvatures of the tangent bundle and on the spinor bundle of the space–time manifold, under which space–time admits Dirac eigenvalues as observables, are derived.

4 citations

01 Jan 2002
TL;DR: In this article, the sectional curvature of tangent sphere bundles over locally symmetric Riemannian manifolds has been studied, and it has been shown that the converse of Theorem 1 also holds.
Abstract: The authors proved a theorem about the sectional curvature of tangent sphere bundles over locally symmetric Riemannian manifolds (see Theorem A below). After a slight generalization of this theorem (Theo- rem 1) we prove several results which give strong support of the conjecture that the converse of Theorem 1 also holds. The problem still remains open, in general.

4 citations

Posted Content
TL;DR: In this paper, a quantum frame bundle of the quantum plane C 2 was constructed by requiring that a GLq,p(2)-covariant differential calculus on C 2 be isomorphic as a bimodule to the space of sections of the associated quantum cotangent bundle.
Abstract: We construct a quantum frame bundle of the quantum plane C 2 by requiring that a GLq,p(2)-covariant differential calculus on C 2 be isomorphic as a bimodule to the space of sections of the associated quantum cotangent bundle. We also construct the section space of the associated quantum tangent bundle, and show that it is naturally dual to the differential calculus.

4 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202320
202231
202117
202012
201915
201814