Non-vanishing complex vector fields and the Euler characteristic

Howard Jacobowitz

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arXiv · 0901.0893

Non-vanishing complex vector fields and the Euler characteristic

Howard Jacobowitz

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Abstract

The existence of a nowhere zero real vector field implies a well-known restriction on a compact manifold. But all manifolds admit nowhere zero complex vector fields. The relation between these observations is clarified.

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BibTeX RIS

Howard Jacobowitz. 2009-01-07. Non-vanishing complex vector fields and the Euler characteristic. https://arxiv.org/abs/0901.0893

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