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Dive into the research topics where Yibing Shen is active.

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Featured researches published by Yibing Shen.


Publicationes Mathematicae Debrecen | 2013

On lower bounds of the first eigenvalue of Finsler--Laplacian

SongTing Yin; Qun He; Yibing Shen

By using Bochner technique and gradient estimate, we give the lower bound estimates of the first eigenvalue of Finsler-Laplacian on Finsler manifolds. These results generalize the corresponding famous theorems in the Riemannian geometry.


International Journal of Mathematics | 2012

SOME RESULTS ON FUNDAMENTAL GROUPS AND BETTI NUMBERS OF FINSLER MANIFOLDS

Yibing Shen; Wei Zhao

In this paper the relationship between the Ricci curvature and the fundamental groups of Finsler manifolds are studied. We give an estimate of the first Betti number of a compact Finsler manifold. Two finiteness theorems for fundamental groups of compact Finsler manifolds are proved. Moreover, the growth of fundamental groups of Finsler manifolds with almost-nonnegative Ricci curvature are considered.


Science China-mathematics | 2004

Second variation of harmonic maps between Finsler manifolds

Yibing Shen; Yan Zhang


Differential Geometry and Its Applications | 2013

On Einstein–Kropina metrics

Xiaoling Zhang; Yibing Shen


Differential Geometry and Its Applications | 2009

Projective change between two classes of (α,β)-metrics

Ningwei Cui; Yibing Shen


Differential Geometry and Its Applications | 2010

Gromov pre-compactness theorems for nonreversible Finsler manifolds

Yibing Shen; Wei Zhao


Houston Journal of Mathematics | 2008

The stability of harmonic maps on Finsler manifolds

Yibing Shen; Shihshu Walter Wei


Science China-mathematics | 2011

On fundamental groups of Finsler manifolds

Yibing Shen; Wei Zhao


Publicationes Mathematicae Debrecen | 2009

Berstein type theorems for minimal surfaces in ("a", "b")-space

Ningwei Cui; Yibing Shen


Houston Journal of Mathematics | 2007

Some properties of harmonic maps for Finsler manifolds

Qun He; Yibing Shen

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Wei Zhao

East China University of Science and Technology

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