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Rugang Ye

University of California, Santa Barbara

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Featured researches published by Rugang Ye.

Manuscripta Mathematica | 1996

Smoothing Riemannian Metrics with Ricci Curvature Bounds

Xianzhe Dai; Guofang Wei; Rugang Ye

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.

arXiv: Differential Geometry | 2007

The logarithmic Sobolev inequality along the Ricci flow

Rugang Ye

arXiv: Differential Geometry | 1997

Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds

Rugang Ye

Commentarii Mathematici Helvetici | 1999

Controlled Geometry via Smoothing

Peter Petersen; Guofang Wei; Rugang Ye

arXiv: Differential Geometry | 2007

The Log Entropy Functional Along the Ricci Flow

Rugang Ye

arXiv: Differential Geometry | 2007

Entropy Functionals, Sobolev Inequalities and kappa-Noncollapsing Estimates along the Ricci Flow

Rugang Ye

arXiv: Differential Geometry | 2007

The logarithmic Sobolev inequality along the Ricci flow in dimension 2

Rugang Ye

arXiv: Differential Geometry | 2014

The Logarithmic Sobolev Inequality Along the Ricci Flow: The Case \lambda _0(g_0)=0

Rugang Ye

arXiv: Differential Geometry | 2014

Sobolev Inequalities, Riesz Transforms, and the Ricci Flow

Rugang Ye

arXiv: Differential Geometry | 2014

A Note on Obata’s Rigidity Theorem

Guoqiang Wu; Rugang Ye

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Guofang Wei

University of California

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Guoqiang Wu

University of Science and Technology of China

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Peter Petersen

University of California

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Xianzhe Dai

University of California

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