8 citations · 16 across the 9 of their papers we have counts for
10 papers
Cohomology of CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke, Vinícius Novelli +1
We show that, under a division condition, the tangential Cauchy--Riemann cohomology of a compact Lie group with a left-invariant CR structure can be computed on a suitable maximal…
Levi-flat CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke
Pittie [Pit88] proved that the Dolbeault cohomology of all left-invariant complex structures on compact Lie groups can be computed by looking at the Dolbeault cohomology induced on…
Left-invariant CR structures on 3-dimensional Lie groups
Gil Bor, Howard Jacobowitz
The systematic study of CR manifolds originated in two pioneering 1932 papers of Élie Cartan. In the first, Cartan classifies all homogeneous CR 3-manifolds, the most well-known ca…
A Conjecture of Trautman
Howard Jacobowitz
In 1998 the physicist Andre Trautman conjectured that a three-dimensional CR manifold is locally realizable if and only if its canonical bundle admits a closed nowhere zero section…
CR structures on open manifolds
Howard Jacobowitz, Peter Landweber
We show that the vanishing of the higher dimensional homology groups of a manifold ensures that every almost CR structure of codimension may be homotoped to a CR structure. Thi…
Locally CR Spherical Three Manifolds
Howard Jacobowitz
Every open and orientable three manifold has a CR structure which is locally equivalent to the standard CR structure on .