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Displaying 1 – 20 of 107

A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.

W. Barth, A. de Van de Ven (1974)

Inventiones mathematicae

A Definition of Exotic Characteristic Classes of Spherical Fibrations

Douglas C. Ravenel (1972)

Commentarii mathematici Helvetici

A note about the isotropy groups of 2-plane bundles over closed surfaces.

A. Minatta, R. Piccinini, M. Spreafico (2003)

Collectanea Mathematica

A note on characteristic classes

Jianwei Zhou (2006)

Czechoslovak Mathematical Journal

This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.

A note on the cohomology ring of the oriented Grassmann manifolds ${\tilde{G}}_{n, 4}$

Tomáš Rusin (2019)

Archivum Mathematicum

We use known results on the characteristic rank of the canonical $4$ –plane bundle over the oriented Grassmann manifold ${\tilde{G}}_{n, 4}$ to compute the generators of the $ℤ_{2}$ –cohomology groups $H^{j} ({\tilde{G}}_{n, 4})$ for $n = 8, 9, 10, 11$ . Drawing from the similarities of these examples with the general description of the cohomology rings of ${\tilde{G}}_{n, 3}$ we conjecture some predictions.

An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings

Dariusz Miklaszewski (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.

Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds

Tomáš Rusin (2018)

Archivum Mathematicum

We estimate the characteristic rank of the canonical $k$ –plane bundle over the oriented Grassmann manifold ${\tilde{G}}_{n, k}$ . We then use it to compute uniform upper bounds for the $ℤ_{2}$ –cup-length of ${\tilde{G}}_{n, k}$ for $n$ belonging to certain intervals.

C*-actions on Grassmann bundles and the cycle at infinity.

Sinan Sertöz (1988)

Mathematica Scandinavica

Classifying spaces and spectral sequences

Graeme Segal (1968)

Publications Mathématiques de l'IHÉS

Compact Kähler Manifolds with Nonnegative Sectional Curvature.

Alfred Gray (1977)

Inventiones mathematicae

Complex 2-plane Bundles over Complex Projective Space.

Robert W. Switzer (1979)

Mathematische Zeitschrift

Continous Wavelet Transforms with Applications to Analyzing Functions on Spheres.

Stephan Dahlke, Peter Maass (1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Corollaries of the A-H-V formula.

P.E. Conner (1974)

Semigroup forum

Correction for the paper “ $S^{3}$ -bundles and exotic actions”

T. E. Barros (2001)

Bulletin de la Société Mathématique de France

In [R] explicit representatives for $S^{3}$ -principal bundles over $S^{7}$ are constructed, based on these constructions explicit free $S^{3}$ -actions on the total spaces are described, with quotients exotic $7$ -spheres. To describe these actions a classification formula for the bundles is used. This formula is not correct. In Theorem 1 below, we correct the classification formula and in Theorem 2 we exhibit the correct indices of the exotic $7$ -spheres that occur as quotients of the free $S^{3}$ -actions described above.

Currently displaying 1 – 20 of 107