Results 21 to 30 of about 217,155 (332)
Acta Mathematica Sinica, English Series, 2014 In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on double vector bundles can be transferred to operations on the corresponding short exact sequences. In particular, we study the duality theory of double vector bundles in term
Zhangju Liu, Zhuo Chen, Yunhe Sheng
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Horrocks Correspondence on a Quadric Surface [PDF]
, 2013 We extend the Horrocks correspondence between vector bundles and cohomology modules on the projective plane to the product of two projective lines.
Malaspina, F., Rao, A. P.
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Mathematische Nachrichten, 2018 AbstractAmong recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry. Several interesting results on regulous varieties and regulous sheaves are already available. In this paper, we define and investigate regulous vector bundles.
Kucharz, Wojciech, Zieliński, Maciej
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Polarisation of Graded Bundles [PDF]
, 2016 We construct the full linearisation functor which takes a graded bundle of degree $k$ (a particular kind of graded manifold) and produces a $k$-fold vector bundle.
Bruce, Andrew James +2 more
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Dirac Structures on Banach Lie Algebroids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In the original definition due to A. Weinstein and T. Courant a Dirac structure is a subbundle of the big tangent bundle T M ⊕ T* M that is equal to its ortho-complement with respect to the so-called neutral metric on the big tangent bundle.
Vulcu Vlad-Augustin
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OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES
Forum of Mathematics, Sigma, 2019 Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
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Generalised connections over a vector bundle map [PDF]
, 2002 A generalised notion of connection on a fibre bundle E over a manifold M is presented. These connections are characterised by a smooth distribution on E which projects onto a (not necessarily integrable) distribution on M and which, in addition, is ...
Cantrijn, F., Langerock, B.
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On the Variety of Paths on Complete Intersections in Grassmannians
Моделирование и анализ информационных систем, 2014 In this article we study the Fano variety of lines on the complete intersection of the grassmannian G(n, 2n) with hypersurfaces of degrees d1 ..., di . A length l path on such a variety is a connected curve composed of l lines.
S. M. Yermakova
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Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
Comptes Rendus. Mathématique, 2020 We study the asymptotic expansion of the determinants of the graph Laplacians associated to discretizations of a half-translation surface endowed with a unitary flat vector bundle. By doing so, over the discretizations, we relate the asymptotic expansion
Finski, Siarhei
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Some calculations on Kaluza-Klein metric with respect to lifts in tangent bundle
Boletim da Sociedade Paranaense de Matemática, 2022 In the present paper, a Riemannian metric on the tangent bundle, which is another generalization of Cheeger-Gromoll metric and Sasaki metric, is considered.
Haşim Çayir
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