2 citations · 3 across the 6 of their papers we have counts for
10 papers · 1 filter
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…
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…
Poisson structures on tangent bundles
Gabriel Mitric, Izu Vaisman
The paper starts with an interpretation of the complete lift of a Poisson structure from a manifold M to its tangent bundle TM by means of the Schouten- Nijenhuis bracket of covari…
Foliations with Transversal Quaternionic Structures
Paolo Piccinni, Izu Vaisman
We consider manifolds equipped with a foliation of codimension , and an almost quaternionic structure on the transversal bundle of . After discussing con…