Results 21 to 30 of about 43,636 (311)
The vector bundle decomposition [PDF]
Pacific Journal of Mathematics, 2003 The subject of this paper is the question whether a given vector bundle can be decomposed (or split) into a Whitney sum of its subbundles. The authors claim that in the real case the literature is sketchy at best (the reviewer will comment on this below), and they continue: ``In this paper we shall begin the study of the decomposition of real vector ...
Leslie, Joshua A., Yue, Qingqi
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On Poincaré bundles of vector bundles on curves [PDF]
manuscripta mathematica, 2005 8 ...
Lange, H., Newstead, P. E.
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PARABOLIC VECTOR BUNDLES AND EQUIVARIANT VECTOR BUNDLES [PDF]
International Journal of Mathematics, 2002 Given a complex manifold X, a normal crossing divisor D ⊂ X whose irreducible components D1, …, Ds are smooth, and a choice of natural numbers [Formula: see text], we construct a manifold [Formula: see text] with an action of a torus Γ and we prove that some full subcategory of the category of Γ-equivariant vector bundles on [Formula: see text] is ...
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A NOTE ON SUB-BUNDLES OF VECTOR BUNDLES [PDF]
Glasgow Mathematical Journal, 2006 4 pages, various ...
Crawley-Boevey, William +1 more
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Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
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Weakly uniform rank two vector bundles on multiprojective spaces [PDF]
, 2011 Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with ...
Malaspina, Francesco +5 more
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Topological stability obstructions and geometry of Algebraic Surfaces [PDF]
, 2022 In this thesis we study a few topics in the field of complex differential and algebraic geometry. In the first part it suggests a new interpretation of a vector bundle on a families of algebraic varieties (or any structures) as an object in the ...
Lukzen, Elena
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Generalised connections over a vector bundle map [PDF]
, 2003 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 ...
Langerock, BavoUGent8010013625059764751357741BDF67A8-F0EE-11E1-A9DE-61C894A0A6B4 +3 more
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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
Chen, Zhuo, Liu, Zhang Ju, Sheng, Yun He
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On the jets of vector bundle maps [PDF]
, 2011 We deduce an abstract characterization of (q,r)-jets of vector bundle ...
Kurek, Jan, Jan Kurek
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