Results 1  10
of
222
The Virasoro group and . . .
, 1998
"... We investigate, in some details, symplectic equivalence between several conformal classes of Lorentz metrics on the hyperboloid of one sheet H 1,1 ∼ = T×T− ∆ and affine coadjoint orbits of the group Diff+(∆) of orientation preserving diffeomorphisms of ∆ ∼ = T with its natural projective structur ..."
Abstract
 Add to MetaCart
We investigate, in some details, symplectic equivalence between several conformal classes of Lorentz metrics on the hyperboloid of one sheet H 1,1 ∼ = T×T− ∆ and affine coadjoint orbits of the group Diff+(∆) of orientation preserving diffeomorphisms of ∆ ∼ = T with its natural projective
Loop Variables and the Virasoro Group
, 2008
"... We derive an expression in closed form for the action of a finite element of the Virasoro Group on generalized vertex operators. This complements earlier results giving an algorithm to compute the action of a finite string of generators of the Virasoro Algebra on generalized vertex operators. The ma ..."
Abstract
 Add to MetaCart
We derive an expression in closed form for the action of a finite element of the Virasoro Group on generalized vertex operators. This complements earlier results giving an algorithm to compute the action of a finite string of generators of the Virasoro Algebra on generalized vertex operators
VIRASORO GROUPS AND HURWITZ SCHEMES
, 2005
"... F. J. PLAZA MARTÍN Abstract. In this paper we study the Hurwitz scheme in terms of the Sato Grassmannian and the algebrogeometric theory of solitons. We will give a characterization, its equations and a show that there is a group of Virasoro type which uniformizes it. 1. ..."
Abstract
 Add to MetaCart
F. J. PLAZA MARTÍN Abstract. In this paper we study the Hurwitz scheme in terms of the Sato Grassmannian and the algebrogeometric theory of solitons. We will give a characterization, its equations and a show that there is a group of Virasoro type which uniformizes it. 1.
On geodesic exponential maps of the Virasoro group
, 2004
"... We study the geodesic exponential maps corresponding to Sobolev type rightinvariant (weak) Riemannian metrics µ (k) (k ≥ 0) on the Virasoro group Vir and show that for k ≥ 2, but not for k = 0, 1, each of them defines a smooth Fréchet chart of the unital element e ∈ Vir. In particular, the geodesic ..."
Abstract

Cited by 37 (4 self)
 Add to MetaCart
We study the geodesic exponential maps corresponding to Sobolev type rightinvariant (weak) Riemannian metrics µ (k) (k ≥ 0) on the Virasoro group Vir and show that for k ≥ 2, but not for k = 0, 1, each of them defines a smooth Fréchet chart of the unital element e ∈ Vir. In particular
An algebraic analog of the Virasoro group
"... The group of diffeomorphisms of a circle is not an infinitedimensional algebraic group, though in many ways it acts as if it were. Here we construct an algebraic model for this object, and discuss some of its representations, which appear in the KontsevichWitten theory of 2D topological gravity. ..."
Abstract
 Add to MetaCart
The group of diffeomorphisms of a circle is not an infinitedimensional algebraic group, though in many ways it acts as if it were. Here we construct an algebraic model for this object, and discuss some of its representations, which appear in the KontsevichWitten theory of 2D topological gravity.
GEODESIC FLOWS ON THE BOTTVIRASORO GROUP WITH DUBINSKII NORM ∗
, 2004
"... It is known that the KortewegDe Vries equation, the CamassaHolm equation and the Harry Dym (or HunterSaxton) equation are geodesic flows on the BottVirasoro group with respect to L 2 and H 1 right invariant metrics. In this Note we study geodesic flow on the BottVirasoro group with respect to t ..."
Abstract
 Add to MetaCart
It is known that the KortewegDe Vries equation, the CamassaHolm equation and the Harry Dym (or HunterSaxton) equation are geodesic flows on the BottVirasoro group with respect to L 2 and H 1 right invariant metrics. In this Note we study geodesic flow on the BottVirasoro group with respect
Dynamics of the generalized Euler equations on Virasoro groups
"... We study the dynamics of the generalized Euler equations on Virasoro groups �D(S 1) with different Sobolev H k metric (k ≥ 2) on the Virasoro algebra. We first prove that the solutions to generalized Euler equations will not blow up in finite time and then study the stability of the trivial solution ..."
Abstract
 Add to MetaCart
We study the dynamics of the generalized Euler equations on Virasoro groups �D(S 1) with different Sobolev H k metric (k ≥ 2) on the Virasoro algebra. We first prove that the solutions to generalized Euler equations will not blow up in finite time and then study the stability of the trivial
Extension of Virasoro group and Virasoro algebra by modules of tensor densities
 on S
"... We classify nontrivial (noncentral) extensions of the group Diff + (S 1) of all diffeomorphisms of the circle preserving its orientation and of the Lie algebra Vect(S 1) of vector fields on S 1, by the modules of tensor densities on S 1. The result is: 4 nontrivial extensions of Diff + (S 1) and ..."
Abstract

Cited by 8 (1 self)
 Add to MetaCart
) and 7 nontrivial extensions of Vect(S 1). Analogous results hold for the Virasoro group and the Virasoro algebra. We also classify central extensions of constructed Lie algebras
DISCRETE LAGRANGIAN SYSTEMS ON THE VIRASORO GROUP AND CAMASSAHOLM FAMILY
, 2002
"... Abstract. We show that the continuous limit of a wide natural class of the rightinvariant discrete Lagrangian systems on the Virasoro group gives the family of integrable PDE’s containing CamassaHolm, HunterSaxton and Kortewegde Vries equations. This family has been recently derived by Khesin an ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
Abstract. We show that the continuous limit of a wide natural class of the rightinvariant discrete Lagrangian systems on the Virasoro group gives the family of integrable PDE’s containing CamassaHolm, HunterSaxton and Kortewegde Vries equations. This family has been recently derived by Khesin
Results 1  10
of
222