Non-vanishing complex vector fields and the Euler characteristic
Differential Geometry
2009-01-08 v1
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.
Cite
@article{arxiv.0901.0893,
title = {Non-vanishing complex vector fields and the Euler characteristic},
author = {Howard Jacobowitz},
journal= {arXiv preprint arXiv:0901.0893},
year = {2009}
}
Comments
2 pages