Manifolds modelled over free modules over the double numbers

Authors: Gadea P.M.¹; Grifone J.²; Muoz Masqué J.³

Source: Acta Mathematica Hungarica, Volume 100, Number 3, 2003 , pp. 187-203(17)

Publisher: Springer

Abstract:

Manifolds over the algebra of double numbers, which include the case of manifolds equipped with a pair of equidimensional supplementary foliations, are studied. To this end, B-holomorphic functions and B-analytic functions on Bⁿ, where B denotes the algebra of double numbers, are defined and studied.

Keywords: B-analyticity; equidimensional supplementary foliations; B-holomorphy; manifolds over the double numbers

Language: English

Document Type: Research article

Affiliations: 1: Institute of Mathematics and Fundamental Physics, CSIC, C/ Serrano 123, 28006 Madrid, Spain E-mail: pmgadea@iec.csic.es 2: Laboratoire Emile Picard, C.N.R.S., Université Paul Sabatier 118 Route De Narbonne 31062 Toulouse, Cedex France E-mail: grifone@picard.ups-tlse.fr 3: Institute Of Applied Physics, CSIC C/ Serrano 144, 28006 Madrid, Spain E-mail: jaime@iec.csic.es

Publication date: 2003-01-01

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• In this Subject: Mathematics and Statistics
• By this author: Gadea P.M. ;  Grifone J. ;  Muoz Masqué J.

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