Results 11 to 20 of about 5,275 (302)
Splitting the tangent bundle [PDF]
Transactions of the American Mathematical Society, 1974 We determine those unoriented cobordism classes which can be realized by a manifold whose tangent bundle splits into a sum of real (complex) line bundles.
Iberkleid, Wolf
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The cohomology of the elliptic tangent bundle [PDF]
, 2021 In this note we compute the cohomology of the elliptic tangent bundle, a Lie algebroid introduced in Cavalcanti and Gualtieri (2018), Cavalcanti et al.
Witte, Aldo +2 more
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LIFTS OF GOLDEN STRUCTURES ON THE TANGENT BUNDLE [PDF]
, 2021 The present paper aims to study the complete lift of golden structure on tangent bundles.
Verma, Geeta
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Affine Subspace Concentration Conditions [PDF]
Épijournal de Géométrie Algébrique, 2023 We define a new notion of affine subspace concentration conditions for lattice polytopes, and prove that they hold for smooth and reflexive polytopes with barycenter at the origin.
Kuang-Yu Wu
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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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Prolongations of affine connection and horizontal vectors
Дифференциальная геометрия многообразий фигур, 2020 The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i.
K.V. Polyakova
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Bigness of the tangent bundles of projective bundles over curves
Comptes Rendus. Mathématique, 2023 In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.
Kim, Jeong-Seop
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On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric; pp. 149–157 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex ...
Aydin Gezer
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Horizontal lifts of projectable linear connection to semi-tangent bundle
, 2021 The main aim of this article is to study the horizontal lifts of projectable linear connectionin the semi-tangent bundle tM. The properties of complete and horizontal lifts of projectable linear connection for semi-tangent bundle tM are also investigated.
Yildirim, Furkan +2 more
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A Note on Tangent Bundles [PDF]
Nagoya Mathematical Journal, 1967 The tangent bundle of a differentiable manifold is an important invariant of a differentiable structure. It is determined neither by the topological structure nor by the homotopy type of a manifold. But in some cases tangent bundles depend only on the homotopy types of manifolds.
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