Non-vanishing complex vector fields and the Euler characteristic

Details Non-vanishing complex vector fields and the Euler characteristic Non-vanishing complex vector fields and the Euler characteristic

2009-01-07

arxiv.org/abs/0901.0893v1

Mathematics

Differential Geometry

2 pages

Scientific paper

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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