English

Horizontally homothetic submersions and nonnegative curvature

Differential Geometry 2007-05-23 v2

Abstract

We show that any horizontally homothetic submersion from a compact manifold of nonnegative sectional curvature is a Riemannian submersion.

Keywords

Cite

@article{arxiv.math/0602024,
  title  = {Horizontally homothetic submersions and nonnegative curvature},
  author = {Ye-Lin Ou and Frederick Wilhelm},
  journal= {arXiv preprint arXiv:math/0602024},
  year   = {2007}
}

Comments

18 pages