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A note on the tangent bundle of G/P [PDF]

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2010
Let P be a parabolic subgroup of a complex simple linear algebraic group G.
Hassan Azad, Indranil Biswas
exaly   +2 more sources

Some Properties of Symplectic Manifolds S on the Projective Tangent Bundle PTM

Advanced Materials Research, 2011
In this paper, we show the relationship between 2-form of the two projective tangent bundle and the relationship between 2-form on projective tangent bundle and 1-form on by using the theory of fiber bundle and the properties of symplectic manifold of ...
Xiao Ying Lu, Wei Na Lu, Yong He
exaly   +2 more sources

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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.
openaire   +3 more sources

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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Tangent Bundle Convolutional Learning: From Manifolds to Cellular Sheaves and Back

IEEE Transactions on Signal Processing
In this work we introduce a convolution operation over the tangent bundle of Riemann manifolds in terms of exponentials of the Connection Laplacian operator.
Claudio Battiloro, Zhiyang Wang, Hans Riess   +2 more
exaly   +2 more sources

Electroweak Symmetry on the Tangent Bundle

International Journal of Theoretical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
Mohammad Nazrul Islam Khan, Uday Chand De, Khan Mohammad Nazrul Islam   +2 more
exaly  

Proposed Theorems on the Lifts of Kenmotsu Manifolds Admitting a Non-Symmetric Non-Metric Connection (NSNMC) in the Tangent Bundle

Symmetry, 2023
Rajesh Kumar, Lalnunenga Colney, Mohammad Nazrul Islam Khan   +2 more
exaly