3 papers
math.DG2025
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 diff…
math.DG2025
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 Kuranish…
math.DG2025
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…