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

Elena Popovici

doi:10.1515/auom-2017-0013

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 1 (January 2017)

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.

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