English

Maximal rank maps between Riemannian manifolds with bounded geometry

Differential Geometry 2007-05-23 v1

Abstract

If Pi: M -> B is an onto smooth maximal rank map between complete Riemannian manifolds M and B with bounded geometry, we prove sufficient conditions for M to be roughly isometric to the Riemannian product FxB, where F is a fiber of M.

Keywords

Cite

@article{arxiv.math/0606120,
  title  = {Maximal rank maps between Riemannian manifolds with bounded geometry},
  author = {C. Abreu-Suzuki},
  journal= {arXiv preprint arXiv:math/0606120},
  year   = {2007}
}

Comments

32 pages, 11 figures

R2 v1 2026-07-22T17:37:00.224Z