Holomorphic torsion on Hermitian symmetric spaces.
Holomorphic Vector-Fields on Compact Kaehler Manifolds.
Holomorphy angles and sectional curvature in Hermitian elliptic planes over fields and tensor products of fields.
Homogeneous Algebraic Varieties Defined by Jordan Pairs.
Homogeneous bundles and the first eigenvalue of symmetric spaces
In this note we prove the stability of the Gieseker point of an irreducible homogeneous bundle over a rational homogeneous space. As an application we get a sharp upper estimate for the first eigenvalue of the Laplacian of an arbitrary Kähler metric on a compact Hermitian symmetric spaces of ABCD–type.
Homogeneous -hypersurface-structures on spheres
Homogeneous C R-manifolds.
Homogeneous Cauchy-Riemann structures
Homogeneous Complex Surfaces.
Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms
Horizontal SL2-Orbits in Flag Domains.
Hyperbolicity and branched coverings.
Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices
Let be a bounded symmetric domain in and an irreducible arithmetic lattice which operates freely on . We prove that the cusp–compactification of is hyperbolic.
Hyperplane section of the complex Cayley plane as the homogeneous space
We prove that the exceptional complex Lie group has a transitive action on the hyperplane section of the complex Cayley plane . Although the result itself is not new, our proof is elementary and constructive. We use an explicit realization of the vector and spin actions of . Moreover, we identify the stabilizer of the -action as a parabolic subgroup (with Levi factor ) of the complex Lie group . In the real case we obtain an analogous realization of .