A bumpy metric theorem and the Poisson relation for generic strictly convex domains.
A canonical connection on sub-Riemannian contact manifolds
We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
A certain tensor on real hypersurfaces in a nonflat complex space form
In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure induced from the ambient space. As a matter of course, many geometers have investigated real hypersurfaces in a nonflat complex space form from the viewpoint of almost contact metric geometry. On the other hand, it is known that the tensor field
A characterization of harmonic foliations by the volumepreserving property of the normal geodesic flow.
A Class of Non-Polarizable Symplectic Manifolds.
A class of tight contact structures on .
A classification of 2-type curves in the Minkowski space .
A Classification of 2-type Curves in the Minkowski Space E1n
A classification of contact metric 3-manifolds with constant -sectional and -sectional curvatures.
A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
Let G be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous G-spaces with connected isotropy subgroups is given. This result is based on Drinfeld's correspondence between Poisson homogeneous G-spaces and Lagrangian subalgebras in the double D𝖌 (here 𝖌 = Lie G). A geometric interpretation of some Poisson homogeneous G-spaces is also proposed.
A classification of the torsion tensors on almost contact manifolds with B-metric
The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
A convexity theorem for Poisson actions of compact Lie groups
A coordinatewise formulation of geometric quantization
A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum.
A few remarks about symplectic filling.
A field theory for symplectic fibrations over surfaces.
A general Fredholm theory I: a splicing-based differential geometry
A Geometric Realization of
A group action on Losev-Manin cohomological field theories
We discuss an analog of the Givental group action for the space of solutions of the commutativity equation. There are equivalent formulations in terms of cohomology classes on the Losev-Manin compactifications of genus moduli spaces; in terms of linear algebra in the space of Laurent series; in terms of differential operators acting on Gromov-Witten potentials; and in terms of multi-component KP tau-functions. The last approach is equivalent to the Losev-Polyubin classification that was obtained...
A Legendrian Thurston-Bennequin bound from Khovanov homology.