Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1225.32041
El Kacimi Alaoui, Aziz; Slimène, Jihène
Leafwise Dolbeault cohomology of certain complex foliations. (Cohomologie de Dolbeault le long des feuilles de certains feuilletages complexes.) (French. English summary)
[J] Ann. Inst. Fourier 60, No. 2, 727-757 (2010). ISSN 0373-0956; ISSN 1777-5310/e

The authors compute the leafwise Dolbeault cohomology (obstruction to solve the Cauchy-Riemann problem along the leaves of a complex foliation) for two classes of complex foliations: i) the two dimensional complex affine Reeb foliations on the Hopf $5$-manifold; ii) complex foliations on the hyperbolic torus (fibration over the circle whose fibre is the $ n$-dimensional torus and its monodromy is a hyperbolic and diagonalizable matrix all of whose eigenvalues are real and positive) obtained by locally free actions of the real affine Lie group.
[Sorin Dumitrescu (Nice)]

MSC 2000:: *32W05 $\overline\partial$ and $\overline\partial$-Neumann operators

Keywords: complex foliation; leafwise Dolbeault cohomology

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]