Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle
MathematicsThe lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar +4 more
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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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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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Higher Order Tangent Bundles [PDF]
Mediterranean Journal of Mathematics, 2016 The tangent bundle $T^kM$ of order $k$, of a smooth Banach manifold $M$ consists of all equivalent classes of curves that agree up to their accelerations of order $k$. For a Banach manifold $M$ and a natural number $k$ first we determine a smooth manifold structure on $T^kM$ which also offers a fiber bundle structure for $( _k,T^kM,M)$.
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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.
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PGL(2) actions on Grassmannians and projective construction of rational curves with given restricted tangent bundle [PDF]
, 2014 We give an explicit parametrization of the Hilbert schemes of rational curves C in P^n having a given splitting type of the restricted tangent bundle from P^n to C.
Alzati, Alberto, Re, Riccardo
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Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
Arab Journal of Mathematical SciencesPurposeThe 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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Tulczyjew triples in the constrained dynamics of strings [PDF]
, 2015 We show that there exists a natural Tulczyjew triple in the dynamics of objects for which the standard kinematic configuration space $TM$, i.e. the tangent bundle, is replaced with its $n$-th exterior power, i.e. the bundle of tangent $n$-vectors.
Grabowska, Katarzyna +2 more
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