6 citations · 10 across the 5 of their papers we have counts for
5 papers
The orbit-fixing deformation spaces of an action of a Lie groupoid
Hirokazu Maruhashi
The orbit-fixing deformation spaces of locally free actions of simply connected Lie groups on closed manifolds have been studied by several authors. In this p…
De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface
Hirokazu Maruhashi, Mitsunobu Tsutaya
We compute the de Rham cohomology of the weak stable foliation of the geodesic flow of a connected orientable closed hyperbolic surface with various coefficients. For most of the c…
Vanishing of cohomology and parameter rigidity of actions of solvable Lie groups, II
Hirokazu Maruhashi
Let be a locally free action of a connected simply connected solvable Lie group on a closed manifold . Roughly speaking, …
Vanishing of cohomology and parameter rigidity of actions of solvable Lie groups
Hirokazu Maruhashi
We give a sufficient condition for parameter rigidity of actions of solvable Lie groups, by vanishing of (uncountably many) first cohomologies of the orbit foliations. In some case…
Parameter rigid actions of simply connected nilpotent Lie groups
Hirokazu Maruhashi
We show that for a locally free action of a simply connected nilpotent Lie group on a compact manifold, if every real valued cocycle is cohomologous to a constant cocycle, then the…