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Classification of contact structures associated with the CR-structure of the complex indicatrix Cover

Classification of contact structures associated with the CR-structure of the complex indicatrix

By: Elena Popovici  
Open Access
|Sep 2017

Abstract

By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure. Moreover, using the classification of the almost contact metric structures associated with a strongly pseudo-convex CR-structure, of D. Chinea and C. Gonzales, we determine the classes corresponding to the natural contact structure of the complex indicatrix and the new structures obtained under a gauge transformation.

DOI: https://doi.org/10.1515/auom-2017-0013 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 163 - 176
Submitted on: Feb 20, 2016
Accepted on: Apr 29, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Elena Popovici, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.