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A measure of non-immersability of the Grassmann manifolds in some euclidean spaces

Published online by Cambridge University Press:  20 January 2009

Cornel Pintea
Cornel Pintea
Affiliation:
“Babeş-Bolyai” University, Department of Mathematics, Str. Kogălniceanu 1, 3400 CLUJ-NAPOCA, Romania E-mail: [email protected]
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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

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