Compact complex manifolds with numerically effective cotangent bundles.
Kratz, Henrik (1997)
Documenta Mathematica
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Displaying similar documents to “On Weil Bundles of the First Order”
Compact complex manifolds with numerically effective cotangent bundles.
Lifting of linear vector fields to fiber product preserving vertical gauge bundles
J. Kurek, W. M. Mikulski (2005)
Colloquium Mathematicae
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We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.
On the reducibility of connections on the prolongations of vector bundles
Ivan Kolář (1974)
Colloquium Mathematicae
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Splitting vector bundles by blowups
Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.
On the form of principal torus-bundles over toruses
T. Jakubowski (1974)
Colloquium Mathematicae
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Natural differential operators between some natural bundles
Włodzimierz M. Mikulski (1993)
Mathematica Bohemica
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Let and be two natural bundles over -manifolds. We prove that if is of type (I) and is of type (II), then any natural differential operator of into is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.
Two-Plane Sub-Bundles of nonorientable real vector-bundles.
Maria H. Paula Leite Mello (1986/87)
Manuscripta mathematica
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Vector bundles over Dold manifolds
R. E. Stong (2001)
Fundamenta Mathematicae
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This paper determines the possible Stiefel-Whitney classes for vector bundles over Dold manifolds.
Vector bundles over classifying spaces.
Oliver, Bob (1998)
Documenta Mathematica
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Variations on the theme of twistor spaces.
Vaisman, I. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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On Sectioning multiples of vector bundles and more general homomorphism bundles.
Július Korbas (1994)
Manuscripta mathematica
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Product preserving gauge bundle functors on all principal bundle homomorphisms
Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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Let 𝓟𝓑 be the category of principal bundles and principal bundle homomorphisms. We describe completely the product preserving gauge bundle functors (ppgb-functors) on 𝓟𝓑 and their natural transformations in terms of the so-called admissible triples and their morphisms. Then we deduce that any ppgb-functor on 𝓟𝓑 admits a prolongation of principal connections to general ones. We also prove a "reduction" theorem for prolongations of principal connections into principal ones by means...
Fibre bundles associated with fields of geometric objects and the structure tensor
J. J. Konderak (1991)
Annales Polonici Mathematici
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Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
Svetlana Ermakova (2015)
Complex Manifolds
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In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Fixed points on Klein bottle fiber bundles over the circle
D. L. Gonçalves, D. Penteado, J. P. Vieira (2009)
Fundamenta Mathematicae
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The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.
Liftings of functions and vector fields to natural bundles
Jacek Gancarzewicz
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CONTENTS0. Introduction...................................................................................................51. Natural bundles...........................................................................................102. Liftings of functions.....................................................................................153. Liftings of functions to the r-frame bundle...................................................224. A space of liftings of functions.....................................................................265....