TY - JOUR
T1 - Homology computation for a class of contact structures on T3
Y1 - 2014
A1 - Ali Maalaoui
A1 - Vittorio Martino
AB - We consider a family of tight contact forms on the three-dimensional torus and we compute the relative Contact Homology by using the variational theory of critical points at infinity. We will also show local stability.
PB - Springer
UR - http://urania.sissa.it/xmlui/handle/1963/34649
U1 - 34856
U2 - Mathematics
ER -
TY - JOUR
T1 - Legendre duality on hypersurfaces in Kähler manifolds
Y1 - 2014
A1 - Vittorio Martino
AB - We give a sufficient condition on real strictly Levi-convex hypersurfaces M, embedded in four-dimensional Kähler manifolds V , such that Legendre duality can be performed. We consider the contact form onM whose kernel is the restriction of the holomorphic tangent space of V and show that if there exists a Legendrian Killing vector field v, then the dual form β(̇) := d(v, ̇) is a contact form on M with the same orientation than theta.
PB - Walter de Gruyter and Co.
UR - http://urania.sissa.it/xmlui/handle/1963/34777
U1 - 34998
U2 - Mathematics
U4 - 1
ER -
TY - JOUR
T1 - Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on lie groups
Y1 - 2014
A1 - Vittorio Martino
A1 - Annamaria Montanari
AB - In this paper, we prove existence and uniqueness of Lipschitz continuous viscosity solutions for Dirichlet problems involving a class a fully non-linear operators on Lie groups. In particular, we consider the elementary symmetric functions of the eigenvalues of the Hessian built with left-invariant vector fields.
PB - Springer
UR - http://urania.sissa.it/xmlui/handle/1963/34699
U1 - 34910
U2 - Mathematics
U4 - 1
ER -
TY - JOUR
T1 - The topology of a subspace of the Legendrian curves on a closed contact 3-manifold
Y1 - 2014
A1 - Ali Maalaoui
A1 - Vittorio Martino
AB - In this paper we study a subspace of the space of Legendrian loops and we show that the injection of this space into the full loop space is an S 1-equivariant homotopy equivalence. This space can be also seen as the space of zero Maslov index Legendrian loops and it shows up as a suitable space of variations in contact form geometry.
PB - Advanced Nonlinear Studies
UR - http://urania.sissa.it/xmlui/handle/1963/35016
U1 - 35262
U2 - Mathematics
U4 - 1
U5 - MAT/05
ER -
TY - JOUR
T1 - Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian
JF - Journal of Mathematical Analysis and Applications. Volume 399, Issue 1, 1 March 2013, Pages 333-339
Y1 - 2013
A1 - Ali Maalaoui
A1 - Vittorio Martino
KW - CR-Yamabe
PB - Elsevier
UR - http://hdl.handle.net/1963/7374
N1 - The article is composed of 13 pages and is recorded in PDF format
U1 - 7422
U2 - Mathematics
U4 - 1
ER -