On the ampleness of positive CR line bundles over Levi-flat manifolds
M Adachi - Publications of the Research Institute for Mathematical …, 2014 - ems.press
We give an example of a compact Levi-flat CR 3-manifold with a positive-along-leaves CR
line bundle which is not ample with respect to transversely infi nitely di fferentiable CR …
line bundle which is not ample with respect to transversely infi nitely di fferentiable CR …
The geometry of 2-calibrated manifolds
DM Torres - Portugaliae Mathematica, 2009 - ems.press
We define 2-calibrated structures, which are analogs of symplectic structures in odd
dimensions. We show the existence of differential topological constructions compatible with …
dimensions. We show the existence of differential topological constructions compatible with …
Szeg\H {o} kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds
CY Hsiao, G Marinescu - arXiv preprint arXiv:1502.01642, 2015 - arxiv.org
Let $ X $ be an orientable compact Levi-flat CR manifold and let $ L $ be a positive CR
complex line bundle over $ X $. We prove that certain microlocal conjugations of the …
complex line bundle over $ X $. We prove that certain microlocal conjugations of the …
[PDF][PDF] 1 Global Lie theory
DM Torres - math.tecnico.ulisboa.pt
Lie theory is one of the most fundamental subjects in mathematics. It is deeply linked to
every branch of geometry, for symmetries of geometric structures are in most cases encoded …
every branch of geometry, for symmetries of geometric structures are in most cases encoded …