Displaying similar documents to “Compact complex manifolds with numerically effective cotangent bundles.”

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.

Natural differential operators between some natural bundles

Włodzimierz M. Mikulski (1993)

Mathematica Bohemica

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Let F and G be two natural bundles over n -manifolds. We prove that if F is of type (I) and G is of type (II), then any natural differential operator of F into G 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.

On Weil Bundles of the First Order

Adgam Yakhievich Sultanov (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined.

Vector bundles on manifolds without divisors and a theorem on deformations

Georges Elencwajg, O. Forster (1982)

Annales de l'institut Fourier

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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.

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.