A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A Definition of Exotic Characteristic Classes of Spherical Fibrations
A note about the isotropy groups of 2-plane bundles over closed surfaces.
A note on characteristic classes
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
We use known results on the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold to compute the generators of the –cohomology groups for . Drawing from the similarities of these examples with the general description of the cohomology rings of we conjecture some predictions.
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
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
We estimate the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold . We then use it to compute uniform upper bounds for the –cup-length of for belonging to certain intervals.
C*-actions on Grassmann bundles and the cycle at infinity.
Classifying spaces and spectral sequences
Compact Kähler Manifolds with Nonnegative Sectional Curvature.
Complex 2-plane Bundles over Complex Projective Space.
Continous Wavelet Transforms with Applications to Analyzing Functions on Spheres.
Corollaries of the A-H-V formula.
Correction for the paper “-bundles and exotic actions”
In [R] explicit representatives for -principal bundles over are constructed, based on these constructions explicit free -actions on the total spaces are described, with quotients exotic -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 -spheres that occur as quotients of the free -actions described above.
Corrigendum et addendum ad: “Minimal cell coverings of sphere bundles over spheres”
Counting Elemnts in Homotopy Sets.
Der Cohomologiering von komplexen Quadriken.
Direct Images of Sheaves of Differentials and the Atiyah Class.
Dynamical systems on vector bundles.
Embedding Finite Covering Spaces into Trivial Bundles.