<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Sep 21, 2017

Page range: 163 - 176

Received: Feb 20, 2016

Accepted: Apr 29, 2016

DOI: https://doi.org/10.1515/auom-2017-0013

Keywords
complex Finsler space, complex indicatrix, contact structure, contact structures classification

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 163 - 176

Received: Feb 20, 2016

Accepted: Apr 29, 2016

DOI: https://doi.org/10.1515/auom-2017-0013

Keywordscomplex Finsler space, complex indicatrix, contact structure, contact structures classification

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
complex Finsler space, complex indicatrix, contact structure, contact structures classification