9 citations · 11 across the 6 of their papers we have counts for
6 papers
Sasakian geometry and Heisenberg groups
Indranil Biswas, Hisashi Kasuya
We prove that a compact Sasakian manifolds whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left inva…
Categories of complex variations of Hodge structure over compact K"ahler manifolds
Hisashi Kasuya
We give a complex polarized variation of Hodge structure over a compact K"ahler manifold which controls all finite-dimensional complex polarized variations of Hodge structure o…
Tamed symplectic structures on compact solvmanifolds of completely solvable type
Anna Fino, Hisashi Kasuya
A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a Kähler structure if and only if it is a complex t…
Hodge theory for twisted differentials
Daniele Angella, Hisashi Kasuya
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class $\mathcal{C}…
Lefschetz coincidence numbers of solvmanifolds with Mostow conditions
Hisashi Kasuya
For any two continuous maps between two solvmanifolds of same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence numbe…
Singularity of the varieties of representations of lattices in solvable Lie groups
Hisashi Kasuya
For a lattice of a simply connected solvable Lie group , we describe the analytic germ in the variety of representations of at the trivial representation as an analytic…