Results 151 to 160 of about 378,438 (215)
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The tangent bundle of a model category
Theory and Applications of Categories, 2018This paper studies the homotopy theory of parameterized spectrum objects in a model category from a global point of view. More precisely, for a model category $\mathcal{M}$ satisfying suitable conditions, we construct a relative model category $\mathcal ...
Yonatan Harpaz, J. Nuiten, Matan Prasma
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Tangent Bundles and Tangent Sphere Bundles
2002In the first two sections of this chapter we discuss the geometry of the tangent bundle and the tangent sphere bundle. In Section 3 we briefly present a more general construction on vector bundles and in Section 4 specialize to the case of the normal bundle of a submanifold.
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Tangent bundle geometry Lagrangian dynamics
Journal of Physics A: Mathematical and General, 1983The main purpose of this paper is to explain the geometrical background of recent results concerning the inverse problem of Lagrangian mechanics. The author starts with an extensive survey of various intrinsic constructions on the tangent bundle of a manifold. Most importantly, he discusses an intrinsically defined type \((1,1)\) tensor field \(S\) on \
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Complex spacetime tangent bundle
Foundations of Physics Letters, 1993It is demonstrated that the spacetime tangent bundle, in the case of a Finsler spacetime, is complex, provided that the gauge curvature field vanishes. This is accomplished by determining the conditions for the vanishing of the Nijenhuis tensor in the anholonomic frame adapted to the spacetime connection.
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Curvature homogeneous unit tangent sphere bundles
Publicationes Mathematicae Debrecen, 1998Any Riemannian metric \(g\) on a manifold \(M\) induces a canonical metric \(g_S\) on the unit tangent sphere bundle \(T_1M\). Various conditions are studied under which \(g_S\) is curvature homogeneous in a specific sense. This includes the case of constant scalar curvature and of homogeneous Ricci curvature.
Boeckx, E., Vanhecke, Lieven
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g‐natural symmetries on tangent bundles
Mathematische Nachrichten, 2020AbstractThe study of symmetries is a well known research topic in differential geometry with relevant physical interpretations. Given a Riemannian manifold , we consider pseudo‐Riemannian g‐natural metrics G on its tangent bundle and characterize conformal, homothetic and Killing vector fields of obtained from natural lifts of vector fields of M.
Mohamed Tahar Kadaoui Abbassi +2 more
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Bundle-like metrics on a tangent bundle
AIP Conference Proceedings, 2010Let (M,g,F) be a semi‐Riemannian manifold with metric g and non‐degenerated foliation F. Let TM = D⊕D⊥ and D⊥ be the intrinsic connection on D⊥. A metric g on M is said to be bundle‐like for the non‐degenerated foliation F if the induced semi‐Riemannian metric on D⊥ is parallel with respect to the intrinsic connection D⊥.Supposing that a Riemannian ...
Stanisław Ewert-Krzemieniewski +4 more
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Fano n-folds with nef tangent bundle and Picard number greater than $$n-5$$n-5
, 2015We prove that Fano n-folds with nef tangent bundle and Picard number greater than $$n-5$$n-5 are rational homogeneous manifolds.
Akihiro Kanemitsu
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On the Geometry of Tangent Bundle and Unit Tangent Bundle with Deformed-Sasaki Metric
International Electronic Journal of Geometry, 2023Let $(M^{m}, g)$ be a Riemannian manifold and $TM$ its tangent bundle equipped with a deformed Sasaki metric. In this paper, firstly we investigate all forms of Riemannian curvature tensors of $TM$ (Riemannian curvature tensor, Ricci curvature, sectional curvature and scalar curvature).
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Lie Algebra of Unit Tangent Bundle
Advances in Applied Clifford Algebras, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yayli, Yusuf, Bekar, MURAT
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