Add to ORKGThis note deals with the isospectral deformations of metrics on nilmanifolds from the view point of Hamiltonian dynamical systems. It is shown in some examples that the associated Hamiltonian system (the system of geodesic flow) is left invariant under such deformations without a nowhere dense subset of the phase space
Abstract. We present a framework for the study of the local qualitative dy-namics of equivariant Ham...
We present a framework for the study of the local qualitative dynamics of equivariant Hamiltonian fl...
In the first part of this paper the theory of Frobenius manifolds is applied to the problem of class...
Abstract: Invariant manifolds of hamiltonian dynamic systems are investigated. In some cas...
We consider a class of dynamical systems on a compact Lie group G with a left-invariant metric and r...
Abstract. We construct a Laplace isospectral deformation of metrics on an orbifold quotient of a nil...
We determine local Hamiltonians, Poisson structures and conserved measures for the linear flows on !...
In this paper we study the geodesic flow on nilmanifolds equipped with a left-invariant metric. We w...
Let T-n be the nilpotent group of real n x n upper-triangular matrices with 1s on the diagonal. The ...
We study the integrability problem for evolution systems on phase spaces with a nonfiat metric. We s...
We review recent classification results on the theory of systems of nonlinear Hamiltonian partial di...
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orb...
We study the variation of a smooth volume form along extremal s of a variational problem with nonh...
Abstract. We study the dynamics of Hamiltonian diffeomor-phisms on convex symplectic manifolds. To t...
The Hamiltonian approach to isomonodromic deformation systems is extended to include generic rationa...
Abstract. We present a framework for the study of the local qualitative dy-namics of equivariant Ham...
We present a framework for the study of the local qualitative dynamics of equivariant Hamiltonian fl...
In the first part of this paper the theory of Frobenius manifolds is applied to the problem of class...
Abstract: Invariant manifolds of hamiltonian dynamic systems are investigated. In some cas...
We consider a class of dynamical systems on a compact Lie group G with a left-invariant metric and r...
Abstract. We construct a Laplace isospectral deformation of metrics on an orbifold quotient of a nil...
We determine local Hamiltonians, Poisson structures and conserved measures for the linear flows on !...
In this paper we study the geodesic flow on nilmanifolds equipped with a left-invariant metric. We w...
Let T-n be the nilpotent group of real n x n upper-triangular matrices with 1s on the diagonal. The ...
We study the integrability problem for evolution systems on phase spaces with a nonfiat metric. We s...
We review recent classification results on the theory of systems of nonlinear Hamiltonian partial di...
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orb...
We study the variation of a smooth volume form along extremal s of a variational problem with nonh...
Abstract. We study the dynamics of Hamiltonian diffeomor-phisms on convex symplectic manifolds. To t...
The Hamiltonian approach to isomonodromic deformation systems is extended to include generic rationa...
Abstract. We present a framework for the study of the local qualitative dy-namics of equivariant Ham...
We present a framework for the study of the local qualitative dynamics of equivariant Hamiltonian fl...
In the first part of this paper the theory of Frobenius manifolds is applied to the problem of class...