-concircular vector fields and holomorphically projective mappings on Kählerian spaces
-Dirac operator and the Cartan-Kähler theorem
We apply the Cartan-Kähler theorem for the k-Dirac operator studied in Clifford analysis and to the parabolic version of this operator. We show that for the tableaux of the first prolongations of these two operators are involutive. This gives us a new characterization of the set of initial conditions for the 2-Dirac operator.
-star products on dual of Lie algebras.
K teórii -páru komplexov priamok v
-theory of oriented Grassmann manifolds
-theory of weight varieties.
K теореме о натуральных уравнениях кривой
Kaehler coherent state orbits for representations of semisimple Lie groups
Kähler manifolds of quasi-constant holomorphic sectional curvatures
The Kähler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kähler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric angle, associated with the section. A curvature identity characterizing such manifolds is found. The biconformal group of transformations whose elements transform Kähler metrics into Kähler ones is introduced and biconformal tensor invariants are obtained....
Kähler manifolds with numerically effective Ricci class
Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz
We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.
Kähler manifolds with split tangent bundle
This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.
Kähler metrics associated to a real hypersurface.
Kähler metrics of constant scalar curvature on bundles over CPn-1.
Kähler Spaces and Proper Open Morphisms.
Kähler structures and convexity properties of coadjoint orbits.
Kähler submanifolds with lower bounded totally real bisectional curvature tensor.
Kähler tubes of constant radial holomorphic sectional curvature.
Kähler-Einstein metrics and the generalized Futaki invariant.
Kähler-Einstein metrics singular along a smooth divisor
In this note we discuss some recent and ongoing joint work with Thalia Jeffres concerning the existence of Kähler-Einstein metrics on compact Kähler manifolds which have a prescribed incomplete singularity along a smooth divisor . We shall begin with a general discussion of the problem, and give a rough outline of the “classical” proof of existence in the smooth case, due to Yau and Aubin, where no singularities are prescribed. Following this is a discussion of the geometry of the conical or edge...