Isotopy of sympletic balls, Gromov' s radius and the structure of ruled symplectic 4-manifolds.
Isotropic almost complex structures and harmonic unit vector fields
Isotropic almost complex structures define a class of Riemannian metrics on tangent bundles of Riemannian manifolds which are a generalization of the Sasaki metric. In this paper, some results will be obtained on the integrability of these almost complex structures and the notion of a harmonic unit vector field will be introduced with respect to the metrics . Furthermore, the necessary and sufficient conditions for a unit vector field to be a harmonic unit vector field will be obtained.
Isotropic almost complex structures on tangent bundles.
Isotropic characteristic classes
Isotropic sections and curvature properties of hyperbolic Kaehlerian manifolds.
-theory of oriented Grassmann manifolds
Kähler-Einstein structures of general natural lifted type on the cotangent bundles.
Kählerian extensions of the symplectic reduction.
K-contact A-manifolds
The aim of this paper is to give a characterization of regular K-contact A-manifolds.
Killing spinor-valued forms and the cone construction
On a pseudo-Riemannian manifold we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on and parallel fields on the metric cone over for spinor-valued forms.
K-пространства постоянного типа.
L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices
We generalize the construction of Maslov-Trofimov characteristic classes to the case of some G-manifolds and use it to study certain hamiltonian systems.
La géométrie symplectique de l'espace des phases de l'équation de KdV périodique
Lagrange geometry on tangent manifolds.
Lagrangian Intersections in Contact Geometry.
Lagrangian submanifolds of quaternion Kaehlerian manifolds satisfying Chen's equality.
Large group actions on manifolds.
Lectures on generalized complex geometry and supersymmetry
These are the lecture notes from the 26th Winter School “Geometry and Physics", Czech Republic, Srní, January 14 – 21, 2006. These lectures are an introduction into the realm of generalized geometry based on the tangent plus the cotangent bundle. In particular we discuss the relation of this geometry to physics, namely to two-dimensional field theories. We explain in detail the relation between generalized complex geometry and supersymmetry. We briefly review the generalized Kähler and generalized...
Lefschetz fibrations, complex structures and Seifert fibrations on .
Lefschetz fibrations in symplectic geometry.