arXiv subjects

Rugang Ye

Publications and source records attributed to Rugang Ye.

20 records · Page 2Linked to original sources

arXiv1995

Controlled Geometry via Smoothing

We prove that Riemannian metrics with a uniform weak norm can be smoothed to having arbitrarily high regularity. This generalizes all previous smoothing results. As a consequence we obtain a generalization of Gromov's almost flat manifold theorem. A uniform Betti number estimate is also obtained.

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arXiv1994

Smoothing Riemannian Metrics with Ricci Curvature Bounds

We prove that Riemannian metrics with an absolute Ricci curvature bound and a conjugate radius bound can be smoothed to having a sectional curvature bound. Using this we derive a number of results about structures of manifolds with Ricci curvature bounds.

dg-ga↗