Maximal rank maps between Riemannian manifolds with bounded geometry

Mathematics – Differential Geometry

Scientific paper

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32 pages, 11 figures

Scientific paper

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.

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