Article contents
A measure of non-immersability of the Grassmann manifolds in some euclidean spaces
Published online by Cambridge University Press: 20 January 2009
Extract
Let Gk, n, be the Grassmann manifold consisting in all non-oriented k-dimensional vector subspaces of the space Rk+n. In this paper we will show that any differentiable mapping f: Gk, n → Rm, has infinitely many critical points for suitable choices of the numbers m, n, k.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 197 - 205
- Copyright
- Copyright © Edinburgh Mathematical Society 1998
References
REFERENCES
- 1
- Cited by