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STEIN EMBEDDING THEOREM FOR $\mathbb{B}$-MANIFOLDS

Published online by Cambridge University Press:  04 July 2003

P. M. Gadea ,
J. Grifone  and
J. Muñoz Masqué
P. M. Gadea
Affiliation:
Institute of Mathematics and Fundamental Physics, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006 Madrid, Spain (pmgadea@iec.csic.es)
J. Grifone
Affiliation:
Laboratoire ‘Emile Picard’, CNRS, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, Cedex, France (grifone@picard.ups-tlse.fr)
J. Muñoz Masqué
Affiliation:
Institute of Applied Physics, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006 Madrid, Spain (jaime@iec.csic.es)
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Abstract

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An analogue of the Stein embedding theorem for $C^\infty$ manifolds endowed with two equidimensional supplementary foliations is proved.

AMS 2000 Mathematics subject classification: Primary 30G35. Secondary 16P10; 26E05; 32E10; 53C12; 57R30.

Keywords

$\mathbb{B}$-holomorphy$\mathbb{B}$-manifolddouble numbersfoliationquotient manifoldStein $\mathbb{B}$-manifold
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 2 , June 2003 , pp. 489 - 499
Copyright
Copyright © Edinburgh Mathematical Society 2003