Results 11 to 20 of about 171,839 (292)
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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A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
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Natural Ricci Solitons on Tangent and Unit Tangent Bundles [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 Considering pseudo-Riemannian $g$-natural metrics on tangent bundles, we prove that the condition of being Ricci soliton is hereditary in the sense that a Ricci soliton structure on the tangent bundle gives rise to a Ricci soliton structure on the base manifold.
Abbassi, Mohamed Tahar Kadaoui +1 more
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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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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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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, Geeta Verma
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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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On the geometry of the tangent bundle with gradient Sasaki metric [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
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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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Homology tangent bundles and universal bundles [PDF]
Proceedings of the American Mathematical Society, 1972 We find results about the evaluation map from the group of homeomorphisms of a closed manifold M and also about fibre bundles where M is the fibre. These facts follow from the observation that the homology tangent bundle is induced from a universal bundle pair.
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