Note on Stieffel-Whitney classes of flag manifolds
On fibrations with the Grassmann manifold of two-planes as fiber.
Stiefel-Whitney characteristic classes and parallelizability of Grassmann manifolds
The rank of vector fields of Grassmannian manifolds
On sectioning tangent bundles and other vector bundles
This paper has two parts. Part one is mainly intended as a general introduction to the problem of sectioning vector bundles (in particular tangent bundles of smooth manifolds) by everywhere linearly independent sections, giving a survey of some ideas, methods and results.Part two then records some recent progress in sectioning tangent bundles of several families of specific manifolds.
On Sectioning multiples of vector bundles and more general homomorphism bundles.
Some partial formulae for Stiefel-Whitney classes of Grassmannians
On the Stiefel-Whitney classes and the span of real Grassmannians
Note on a generalization of the generalized vector field problem
The Lyusternik-Shnirel'man category, vector bundles, and immersions of manifolds.
The ℤ₂-cohomology cup-length of real flag manifolds
Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any , q ≥ 3. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong’s approach used for calculations in the ℤ₂-cohomology algebra of the Grassmann manifolds.
Page 1