The decomposition of the representations T0(v∈R) ore considered here. The Plancherel formula for the universal covering group of SU(1,1) is also deduced.
We discuss the properties of complex manifolds having rational homology of S 1 × S 2n?1 including those constructed by Hopf, Kodaira and Brieskorn-van de Ven. We extend certain previously known properties of coho...We discuss the properties of complex manifolds having rational homology of S 1 × S 2n?1 including those constructed by Hopf, Kodaira and Brieskorn-van de Ven. We extend certain previously known properties of cohomology of bundles on such manifolds. As an application we consider degeneration of Hodge-de Rham spectral sequence in this non Kahler setting.展开更多
文摘The decomposition of the representations T0(v∈R) ore considered here. The Plancherel formula for the universal covering group of SU(1,1) is also deduced.
文摘We discuss the properties of complex manifolds having rational homology of S 1 × S 2n?1 including those constructed by Hopf, Kodaira and Brieskorn-van de Ven. We extend certain previously known properties of cohomology of bundles on such manifolds. As an application we consider degeneration of Hodge-de Rham spectral sequence in this non Kahler setting.
