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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
Affiliation:
“Babeş-Bolyai” University, Department of Mathematics, Str. Kogălniceanu 1, 3400 CLUJ-NAPOCA, Romania E-mail: cpintea@math.ubbcluj.ro
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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, nRm, has infinitely many critical points for suitable choices of the numbers m, n, k.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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