Results 221 to 230 of about 2,825 (265)

On the curature of the tangent bundle

Annali Di Matematica Pura Ed Applicata, 1969
The tangent bundle is regarded as an almost product manifold. Connections adapted to this structure are introduced. Use is made of the theory of submersions,
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Extending Tangent Bundles by an Algebra Bundle

Iranian Journal of Science and Technology, Transactions A: Science, 2018
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Feizabadi, Hassan, Boroojerdian, Naser
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On the Geometry of Tangent Bundle and Unit Tangent Bundle with Deformed-Sasaki Metric

International Electronic Journal of Geometry, 2023
Let $(M^{m}, g)$ 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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Riemannian metrics on tangent bundles

Annali di Matematica Pura ed Applicata, 1988
Given a Riemannian manifold M, the tangent bundle TM and its sphere subbundle \(T_ 1M\) are studied as Riemannian manifolds equipped with the Sasaki metrics. Unlike most literature about this topics, the authors use Cartan's method of moving frames. They construct a natural class of metrics on TM containing the Sasaki metric and also a complete metric ...
MUSSO, EMILIO, TRICERRI F.
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Bundle-like metrics on a tangent bundle

AIP Conference Proceedings, 2010
Let (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, Manuel Asorey, Jesús Clemente-Gallardo, Eduardo Martínez, José F. Cariñena   +4 more
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Tangent Bundles and Tangent Sphere Bundles

2002
In 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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Derivations in the tangent bundle

Lecture Notes in Mathematics, 1984
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Electroweak Symmetry on the Tangent Bundle

International Journal of Theoretical Physics, 2001
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On Riemannian tangent bundles

2006
Summary: We study the geometry of manifolds whose tangent bundle is endowed with a Riemannian metric. The Levi-Civita connection, Schouten-Van Kampen connection and Vranceanu connection are the main tools for this study. We obtain characterizations of special classes of vertical foliations and compare the sectional curvatures of the horizontal ...
Al-Aqeel, Adnan, Bejancu, Aurel
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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle

Mathematics, 2023
Uday Chand De, Mohammad Nazrul Islam Khan, Khan Mohammad Nazrul Islam   +2 more
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