2 citations · 3 across the 6 of their papers we have counts for
14 papers
Tangent Dirac structures and submanifolds
Izu Vaisman
We write down the local equations that characterize the submanifolds N of a Dirac manifold M which have a normal bundle that is either a coisotropic or an isotropic submanifold of…
Foliation-coupling Dirac structures
Izu Vaisman
We extend the notion of "coupling with a foliation" from Poisson to Dirac structures and get the corresponding generalization of the Vorobiev characterization of coupling Poisson s…
Transitive Courant algebroids
Izu Vaisman
We express any Courant algebroid bracket by means of a metric connection, and construct a Courant algebroid structure on any orthogonal Whitney sum where E is a given C…
Kaehler-Nijenhuis Manifolds
Izu Vaisman
A Kaehler-Nijenhuis manifold is a Kaehler manifold M, with metric g, complex structure J and Kaehler form F, endowed with a Nijenhuis tensor field A that is compatible with the Poi…
Lagrange Geometries on Tangent Manifolds
Izu Vaisman
Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a non degenerate Lagrangian function on the total space of a tangent bundle. Finsler geome…
Dirac submanifolds of Jacobi manifolds
Izu Vaisman
The notion of a Dirac submanifold of a Poisson manifold was studied by Xu (arXiv:math.SG/0110326). We give an interpretation of Xu's definition in terms of a general notion of tens…