Results 11 to 20 of about 148,959 (291)

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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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
doaj   +1 more source

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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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.
openaire   +2 more sources

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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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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Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
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Sub-bundles of the complexified tangent bundle [PDF]

Transactions of the American Mathematical Society, 2003
We study embeddings of complex vector bundles, especially line bundles, in the complexification of the tangent bundle of a manifold. The aim is to understand implications of properties of interest in partial differential equations.
Jacobowitz, Howard, Mendoza, Gerardo
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