Results 51 to 60 of about 378,438 (215)
On the local representation of synectic connections on Weil bundles
Дифференциальная геометрия многообразий фигур, 2022 Synectic extensions of complete lifts of linear connections in tangent bundles were introduced by A. P. Shirokov in the seventies of the last century [1; 2]. He established that these connections are linear and are real realizations of linear connections
A. Ya. Sultanov, G.A. Sultanova
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On the scalar components of the canonical form on higher order frame bundles
Дифференциальная геометрия многообразий фигурA detailed obtaining of the expressions for the scalar components of the canonical form on higher order frame bundles over a smooth manifold has been done.
A. V. Kuleshov
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Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle [PDF]
, 2018 We study field equations for a weak anisotropic model on the tangent Lorentz bundle TM of a spacetime manifold. A geometrical extension of general relativity (GR) is considered by introducing the concept of local anisotropy, i.e.
A. Triantafyllopoulos, P. Stavrinos
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International Journal of Analysis and Applications, 2022 Manifolds with fλ(6,4) structure was defined and studied in the past. Later the geometry of tangent and cotangent bundles in a differentiable manifold with fλ(6,4) structure was studied.
Manisha M. Kankarej, Jai Pratap Singh
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On the Topology of Tangent Bundles [PDF]
Proceedings of the American Mathematical Society, 1959 is a vector space isomorphism of Vn onto T(m). The tangent bundle 3(M) of the manifold M consists of the ordered pairs (m, v) where meM and vE T(m). Therefore, as a point set only, 3(M) is M x V1. We shall assume that the reader is familiar with the fibre space topology which is customarily assigned to 3(M).
Auslander, Louis, MacKenzie, R. E.
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On the Geometry of the Tangent Bundle With Vertical Rescaled Metric
, 2018 Let (M,g) be a n-dimensional smooth Riemannian manifold. In the present paper, we introduce a new class of natural metrics denoted by G^{f} and called the vertical rescaled metric on the tangent bundle TM.
H. Dida, F. Hathout, Abdelhalim Azzouz
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Prolongations of F-structure to the tangent bundle of order 2
International Journal of Mathematics and Mathematical Sciences, 1993 A study of prolongations of F-structure to the tangent bundle of order 2 has been presented.
Lovejoy S. Das
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Sub-bundles of the complexified tangent bundle [PDF]
Transactions of the American Mathematical Society, 2003 The authors study embeddings of complex vector bundles, especially line bundles in the complexification of the tangent bundle \(CTM\) of a manifold \(M\) and its implications in the establishment of properties of interest in partial differential equations. The main questions considered are: 1. Let \({\mathcal V}\), be a complex vector bundle \(E\to M\)
Jacobowitz, Howard, Mendoza, Gerardo
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On infinitesimal conformal transformations with respect to the Cheeger-Gromoll metric
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 The present paper deals with the classification of infinitesimal fibre-preserving conformal transformations on the tangent bundle, equipped with the Cheeger-Gromoll ...
Gezer Aydin, Bilen Lokman
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Rigidity properties of holomorphic Legendrian singularities [PDF]
Épijournal de Géométrie Algébrique, 2019 We study the singularities of Legendrian subvarieties of contact manifolds in the complex-analytic category and prove two rigidity results. The first one is that Legendrian singularities with reduced tangent cones are contactomorphically biholomorphic to
Jun-Muk Hwang
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