10 citations · 43 across the 22 of their papers we have counts for
22 papers
Invariant forms compute the Dolbeault cohomology of complex nilmanifolds
Keizo Hasegawa, Lorenzo Sillari, Adriano Tomassini
We prove that the inclusion of left-invariant forms into the Dolbeault complex of a compact nilmanifold endowed with a left-invariant complex structure induces an isomorphi…
Biholomorphism type of left-invariant complex structures on nilpotent Lie groups
Keizo Hasegawa, Sönke Rollenske, Lorenzo Sillari +2
In this note we prove a conjecture by Hasegawa stating that a simply connected, nilpotent Lie group of dimension endowed with a left-invariant complex structure is biholomorph…
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…
A note on locally conformally Kaehler structures and small deformations of Hopf manifolds
Keizo Hasegawa
A Hopf manifold is a compact complex manifold of which the universal covering is C^n\{0}. In this note we show that any Hopf manifold admits a locally conformally Kaehler structure…
Note on bi-exactness for creation operators on Fock spaces
Kei Hasegawa, Yusuke Isono, Tomohiro Kanda
In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previ…
Boundary and rigidity of nonsingular Bernoulli actions
Kei Hasegawa, Yusuke Isono, Tomohiro Kanda
Let be a countable discrete group and consider a nonsingular Bernoulli shift action with two base points. When is exa…