The Automorphism Groups of Strongly Pseudoconvex Domains.
The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of -algebras
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
The extended future tube conjecture for SO(1, )
Let be the open upper light cone in with respect to the Lorentz product. The connected linear Lorentz group acts on and therefore diagonally on the -fold product where We prove that the extended future tube is a domain of holomorphy.
The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains
We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.
The minimum principle from a Hamiltonian point of view.
The Monodromy Groups of Critical Points of Functions II.
The space of Surface group representations.
Transformation Groups on Homogeneous-Rational Manifolds.
Transversal Lie group actions on abstract CR manifolds.
Two Dimensional Complex Manifold with Vanishing Cohomology Set.
Two remarks concerning toroidal groups.
Two remarks on Kähler homogeneous manifolds
We prove that every Kähler solvmanifold has a finite covering whose holomorphic reduction is a principal bundle. An example is given that illustrates the necessity, in general, of passing to a proper covering. We also answer a stronger version of a question posed by Akhiezer for homogeneous spaces of nonsolvable algebraic groups in the case where the isotropy has the property that its intersection with the radical is Zariski dense in the radical.