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

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.

Keywords

• complex finsler space
• complex indicatrix
• contact structure
• contact structures classification
• 53b40
• 53b25
• 53c15
• 53c25