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arXiv · 1010.2429

Directed immersions of closed manifolds

Mohammad Ghomi
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Abstract

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.

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Mohammad Ghomi. 2010-10-12. Directed immersions of closed manifolds. https://arxiv.org/abs/1010.2429

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