5 papers
Cartan Flat Non-degenerate CR Lie Groups
Keizo Hasegawa, Hisashi Kasuya
In this paper we determine all the simply connected non-degenerate CR Lie groups, which are flat with respect to the Cartan connection: in terms of associated Lie algebras, we asse…
Higher-Degree Holomorphic Contact Structures
Hisashi Kasuya, Dan Popovici, Luis Ugarte
We introduce the classes of holomorphic -contact manifolds and holomorphic -symplectic manifolds that generalise the classical holomorphic contact and holomorphic symplectic…
GIT stability and biquotients of
Yoshinori Hashimoto, Hiroaki Ishida, Hisashi Kasuya
We study double-sided actions of on and the associated quotients, where is a maximal unipotent subgroup of . The main…
Properties of Holomorphic -Contact Manifolds
Hisashi Kasuya, Dan Popovici, Luis Ugarte
We continue the study of compact holomorphic -contact manifolds that we introduced recently by expanding the discussion to include non-Kähler hyperbolicity issues and a dif…
On splittings of deformations of pairs of complex structures and holomorphic vector bundles
Hisashi Kasuya, Valto Purho
We can show that the Kuranishi space of a pair of a compact Kähler manifold and its flat Hermitian vector bundle is isomorphic to the direct product of the Kuranis…