Results 61 to 70 of about 378,438 (215)
The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
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The differential geometry of tangent bundles was studied by several authors, for example: Yano and Ishihara [8], V. Oproiu [3], A.A. Salimov [5], D. E. Blair [1] and among others.
Hasim Cayir
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The geometry of the tangent bundle and the relativistic kinetic theory of gases [PDF]
This paper discusses the relativistic kinetic theory for a simple collisionless gas from a geometric perspective. We start by reviewing the rich geometrical structure of the tangent bundle TM of a given spacetime manifold, including the splitting of the ...
O. Sarbach, T. Zannias
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Descending maps between slashed tangent bundles
Suppose $TM\setminus \{0\}$ and $T\widetilde M\setminus\{0\}$ are slashed tangent bundles of two smooth manifolds $M$ and $\widetilde M$, respectively. In this paper we characterize those diffeomorphisms $F\colon TM\setminus\{0\} \to T\widetilde M\setminus\{0\}$ that can be written as $F = (D )|_{TM\setminus\{0\}}$ for a diffeomorphism $ \colon M\to \
Bucataru, Ioan, Dahl, Matias F.
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Negative tangent bundles and hyperbolic manifolds [PDF]
We construct a family of algebraic manifolds which are hyperbolic in the sense of Kobayashi, but whose tangent bundles are not negative.
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Tangent bundle formulation of a charged gas [PDF]
We discuss the relativistic kinetic theory for a simple, collisionless, charged gas propagating on an arbitrary curved spacetime geometry. Our general relativistic treatment is formulated on the tangent bundle of the spacetime manifold and takes ...
O. Sarbach, T. Zannias
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Let (M,∇,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM.
Lixu Yan +3 more
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Iterative calculus on tangent floors
Tangent fibrations generate a “multi-floored tower”, while raising from one of its floors to the next one, one practically reiterates the previously performed actions. In this way, the "tower" admits a ladder-shaped structure. Raising to the first floors
Balan Vladimir +2 more
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On the vertical bundle of a pseudo-Finsler manifold
We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Aurel Bejancu, Hani Reda Farran
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Stability and holomorphic connections on vector bundles over LVMB manifolds
We characterize all LVMB manifolds $X$ such that the holomorphic tangent bundle $TX$ is spanned at the generic point by a family of global holomorphic vector fields, each of them having non-empty zero locus. We deduce that holomorphic connections on semi-
Biswas, Indranil +2 more
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