4 papers · 1 filter
About the geometry of almost para-quaternionic manifolds
Liana David
We provide a general criteria for the integrability of the almost para-quaternionic structure of an almost para-quaternionic manifold (M,P) of dimension bigger or equal to eight, i…
Sasaki--Weyl connections on CR manifolds
Liana David
We introduce and study the notion of Sasaki--Weyl manifold, which is a natural generalization of the notion of Sasaki manifold. We construct a reduction of Sasaki--Weyl manifolds a…
The Guillemin formula and Kaehler metrics on toric symplectic manifolds
David M. J. Calderbank, Liana David, Paul Gauduchon
We discuss the construction of toric Kaehler metrics on symplectic 2n-manifolds with a hamiltonian n-torus action and present a simple derivation of the Guillemin formula for a dis…
The Penrose transform for compactly supported cohomology
Toby N Bailey, Liana David
We present a version of the Penrose transform which relates compactly supported cohomology on a complex or CR manifold Z to kernels and cokernels of differential operators on a par…