31 citations · 235 across the 28 of their papers we have counts for
28 papers
Hamiltonian systems on almost cosymplectic manifolds
Stefan Berceanu
We determine the Hamiltonian vector field on an odd dimensional manifold endowed with almost cosymplectic structure. This is a generalization of the corresponding Hamiltonian vecto…
Geodesics on the extended Siegel-Jacobi upper half-plane
Stefan Berceanu
The semidirect product of the real Heisenberg group with , called the real Jacobi group , admits a four-parameter…
Invariant metric on the extended Siegel-Jacobi upper half space
Stefan Berceanu
The real Jacobi group , defined as the semidirect product of the Heisenberg group with the symplectic group ${\mr {Sp}}(n,\mathbb{R})$, admits a…
Remarks on the geometry of the extended Siegel--Jacobi upper half-plane
Elena Mirela Babalic, Stefan Berceanu
The real Jacobi group , where denotes the 3-dimensional Heisenberg group, is parametrized by the -coordina…
The Real Jacobi Group Revisited
Stefan Berceanu
The real Jacobi group , defined as the semi-direct product of the group with the Heisenberg group , is embedded in a ma…
Geodesics associated to the balanced metric on the Siegel-Jacobi ball
Stefan Berceanu
We determine the Christoffel's symbols for the Siegel-Jacobi ball endowed with the balanced metric. We study the equations of geodesics on the Siegel-Jacobi ball. We calculate the…