Holomorphic disks and genus bounds.
Holomorphic distribution of CR-submanifolds of a complex projective space.
Holomorphic equivariant cohomology.
Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds
Holomorphic group actions with many compact orbits.
Holomorphic immersions between compact hyperbolic space forms.
Holomorphic Poisson Cohomology
Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology is obtained by twisting the Dolbeault @-operator by the holomorphic Poisson bivector field. Therefore, the cohomology space naturally appears as the limit of a spectral sequence of a double complex. The first sheet of this spectral sequence is simply the Dolbeault cohomology with coefficients in...
Holomorphic retractions and boundary Berezin transforms
In an earlier paper, the first two authors have shown that the convolution of a function continuous on the closure of a Cartan domain and a -invariant finite measure on that domain is again continuous on the closure, and, moreover, its restriction to any boundary face depends only on the restriction of to and is equal to the convolution, in , of the latter restriction with some measure on uniquely determined by . In this article, we give an explicit formula for in terms of ,...
Holomorphic structures and connections on differentiable fibre bundles.
Holomorphic torsion on Hermitian symmetric spaces.
Holomorphic Vector Bundles on a Compact Riemann Surface.
Holomorphically projective curvature tensors
Holomorphically projective mappings of compact semisymmetric manifolds
In this paper we consider holomorphically projective mappings from the compact semisymmetric spaces onto (pseudo-) Kählerian spaces . We proved that in this case space is holomorphically projective flat and is space with constant holomorphic curvature. These results are the generalization of results by T. Sakaguchi, J. Mikeš, V. V. Domashev, N. S. Sinyukov, E. N. Sinyukova, M. Škodová, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric Kählerian...
Holomorphically pseudosymmetric Kähler metrics on ℂℙⁿ
The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
Holomorphicity of Minimal Submanifolds in Complex Space Forms.
Holomorphy angles and sectional curvature in Hermitian elliptic planes over fields and tensor products of fields.
Holonomy and projective equivalence in 4-dimensional Lorentz manifolds.
Holonomy Groups of a Fully Parallelizable Manifold
Holonomy groups of complete flat manifolds
We present short direct proofs of two known properties of complete flat manifolds. They say that the diffeomorphism classes of m-dimensional complete flat manifolds form a finite set and that each element of is represented by a manifold with finite holonomy group.
Holonomy groups of five dimensional Bieberbach groups.