• Bing Ye Wu

Articles written in Proceedings – Mathematical Sciences

• On Hypersurfaces with two Distinct Principal Curvatures in Space Forms

We investigate the immersed hypersurfaces in space forms $\mathbb{N}^{n+1}(c),n\geq 4$ with two distinct non-simple principal curvatures without the assumption that the (high order) mean curvature is constant. We prove that any immersed hypersurface in space forms with two distinct non-simple principal curvatures is locally conformal to the Riemannian product of two constant curved manifolds. We also obtain some characterizations for the Clifford hypersurfaces in terms of the trace free part of the second fundamental form.

• Growth of Fundamental Group for Finsler Manifolds with Integral Ricci Curvature Bound

In this paper, an upper bound on the growth of fundamental group for a class of Finsler manifolds with integral Ricci curvature bound is given. This generalizes the corresponding results with pointwise Ricci curvature in literature.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019