53 citations · 372 across the 42 of their papers we have counts for
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A sharp lower bound for the first eigenvalue on Finsler manifolds
Guofang Wang, Chao Xia
In this paper, we give a sharp lower bound for the first (nonzero) Neumann eigenvalue of Finsler-Laplacian in Finsler manifolds in terms of diameter, dimension, weighted Ricci curv…
An optimal anisotropic Poincaré inequality for convex domains
Guofang Wang, Chao Xia
In this paper, we prove a sharp lower bound of the first (nonzero) eigenvalue of Finsler-Laplacian with the Neumann boundary condition. Equivalently, we prove an optimal anisotropi…
A conformal integral invariant on Riemannian foliations
Guofang Wang, Yongbing Zhang
Let be a closed manifold which admits a foliation structure of codimension and a bundle-like metric . Let be the space of bundle-like met…
A new conformal invariant on 3-dimensional manifolds
Yuxin Ge, Guofang Wang
By improving the analysis developed in the study of $\s_k$-Yamabe problem, we prove in this paper that the De Lellis-Topping inequality is true on 3-dimensional Riemannian manifold…