59 citations · 266 across the 25 of their papers we have counts for
26 papers
A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures
Guowu Meng, Liang Yang
We exhibit an explicit integer polynomial in five variables, of total degree and with constant Hessian determinant , whose gradient is not injective. Consequently its for…
The classical dynamic symmetry for the -Kepler problems
Sofiane Bouarroudj, Guowu Meng
A Poisson realization of the simple real Lie algebra on the phase space of each -Kepler problem is exhibited. As a consequence one obtains t…
The classical dynamic symmetry for the -Kepler problems
Sofiane Bouarroudj, Guowu Meng
For the Jordan algebra of hermitian matrices of order , we let be its submanifold consisting of rank-one semi-positive definite elements. The composition of the cotange…
On the trajectories of O(1)-Kepler Problems
Guowu Meng
The trajectories of the -Kepler problem at level are completely determined. It is found in particular that a non-colliding trajectory is an ellipse, a parab…
Tulczyjew's Approach for Particles in Gauge Fields
Guowu Meng
Around mid-1970s W. M. Tulczyjew discovered an approach which brings the two formalisms under a common geometric roof: the dynamics of a particle with configuration space is de…
On the Orbits of the Magnetized Kepler Problems in Dimension 2k+1
Zhanqiang Bai, Guowu Meng, Erxiao Wang
It is demonstrated that, for the recently introduced classical magnetized Kepler problems in dimension , the non-colliding orbits in the "external configuration space" $\math…