3 papers
math.DG2021
A lower bound for length of second fundamental form on minimal hypersurfaces
Jianquan Ge, Fagui Li
We prove a weak version of the Perdomo Conjecture, namely, there is a positive constant depending only on such that on any closed embedded, non-totally geodesic, minim…
math.DG2019
On some conjectures by Lu and Wenzel
Jianquan Ge, Fagui Li, Zhiqin Lu +1
In order to give a unified generalization of the BW inequality and the DDVV inequality, Lu and Wenzel proposed three Conjectures 1, 2, 3 and an open Question 1 in 2016. In this pap…
math.DG2018
Some generalizations of the DDVV and BW inequalities
Jianquan Ge, FaGui Li, Yi Zhou
In this paper we generalize the known DDVV-type inequalities for real (skew-)symmetric and complex (skew-)Hermitian matrices to arbitrary real, complex and quaternionic matrices. I…