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.
R. E. Stong (2001)
Fundamenta Mathematicae
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This paper determines the possible Stiefel-Whitney classes for vector bundles over Dold manifolds.
Bun Wong (1984)
Mathematische Zeitschrift
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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.
Thomas. Peternell, Michal Szurek (1992)
Mathematische Annalen
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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.
Bushueva, Galina N., Shurygin, Vadim V. (2005)
Lobachevskii Journal of Mathematics
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Manea, Adelina (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Peter Löffler, Larry Smith (1974)
Mathematische Zeitschrift
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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.
Jaroslaw A. Wisniewski (1993)
Mathematische Zeitschrift
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Ivan Kolář (1974)
Colloquium Mathematicae
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Maria H. Paula Leite Mello (1986/87)
Manuscripta mathematica
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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.