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arXiv:1010.2429 [math.DG]AbstractReferencesReviewsResources

Directed immersions of closed manifolds

Mohammad Ghomi

Published 2010-10-12, updated 2010-10-25Version 3

Given any finite subset X of the sphere S^n, n>1, which includes no pairs of antipodal points, we explicitly construct smoothly immersed closed orientable hypersurfaces in Euclidean space R^{n+1} whose Gauss map misses X. In particular, this answers a question of M. Gromov.

Comments: Minor revisions over the last draft
Categories: math.DG, math.GT
Subjects: 53A07, 53C42, 57R42, 58K15
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