Generalized pseudohermitian manifolds
-
Giulia Dileo
und
Antonio Lotta
Abstract.
We define a generalized
pseudohermitian structure on an almost CR manifold
as a pair (h,P),
where h is a positive definite fiber metric h on 
compatible with J, and 
is a smooth projector such
that 
.
We show that to each generalized pseudohermitian
structure one can associate a canonical linear connection
on the holomorphic bundle which is invariant
under equivalence. This fact allows us to solve the equivalence problem in the case where is a kind 2 distribution. We study the curvature of the canonical connection, especially for the classes of standard homogeneous 
manifolds and 3-Sasakian manifolds. The
basic formulas for isopseudohermitian immersions are also
obtained in the attempt to enlarge the theory of pseudohermitian immersions between strongly pseudoconvex pseudohermitian manifolds of hypersurface type.
© 2012 by Walter de Gruyter Berlin Boston
Artikel in diesem Heft
- Masthead
- Generalized pseudohermitian manifolds
- Loop space homology associated with the mod 2 Dickson invariants
- Interacting superprocesses with discontinuous spatial motion
- Jacobsthal identity for
- Regularized theta lift and formulas of Katok–Sarnak type
- Holomorphic extensions associated with series expansions
- Stone duality for real-valued multisets
- Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math.22 (2010), 855–862]
Artikel in diesem Heft
- Masthead
- Generalized pseudohermitian manifolds
- Loop space homology associated with the mod 2 Dickson invariants
- Interacting superprocesses with discontinuous spatial motion
- Jacobsthal identity for
- Regularized theta lift and formulas of Katok–Sarnak type
- Holomorphic extensions associated with series expansions
- Stone duality for real-valued multisets
- Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math.22 (2010), 855–862]
