5 citations · 6 across the 10 of their papers we have counts for
10 papers
Recent Progress on Austere Submanifolds
Jianquan Ge, Yi Zhou
This is a brief survey of recent results related to austere submanifolds, mainly based on the papers [24,25].
Rigidity Results for Compact Submanifolds with Pinched Ricci Curvature in Euclidean and Spherical Space Forms
Jianquan Ge, Ya Tao, Yi Zhou
For compact submanifolds in Euclidean and Spherical space forms with Ricci curvature bounded below by a function of mean curvature, we prove that the submanifold is ei…
Normal Scalar Curvature Inequality on a Class of Austere Submanifolds
Jianquan Ge, Ya Tao, Yi Zhou
In this paper, we establish new normal scalar curvature inequalities on a class of austere submanifolds by proving sharper DDVV-type inequalities on associated austere subspaces. W…
A survey on the DDVV-type inequalities
Jianquan Ge, Fagui Li, Zizhou Tang +1
In this paper, we give a survey on the history and recent developments on the DDVV-type inequalities.
Austere Matrices, Austere Submanifolds and Dupin Hypersurfaces
Jianquan Ge, Yi Zhou
Motivated by Bryant's research on austere subspaces and Cartan's isoparametric hypersurfaces with 3 distinct principal curvatures, we construct three families of austere submanifol…
Desingularization and p-Curvature of Recurrence Operators
Yi Zhou, Mark van Hoeij
Linear recurrence operators in characteristic are classified by their -curvature. For a recurrence operator , denote by the characteristic polynomial of its -cu…
Holomorphic d-scalar curvature on almost Hermitian manifolds
Jianquan Ge, Yi Zhou
In this paper, we study the existence of constant holomorphic d-scalar curvature and the prescribing holomorphic d-scalar curvature problem on closed, connected almost Hermitian ma…
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…
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…
DDVV-type inequality for Hermitian matrices
Jianquan Ge, Song Xu, Hangyu You +1
In this paper we extend DDVV-type inequalities involving the Frobenius norm of commutators from real symmetric and skew-symmetric matrices to Hermitian and skew-Hermitian matrices.