Handbook of Pseudo-Riemannian Geometry and Supersymmetry

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pp: 863–893

DOI: 10.4171/079-1/24

Nondegenerate conformal structures, CR structures and quaternionic CR structures on manifolds

Yoshinobu Kamishima[1]

(1) Tokyo Metropolitan University, Japan

In this expository article, we study integrable, nondegenerate geometric structures on odd dimensional smooth manifolds simultaneously. We are mainly interested in conformal structure on n-manifolds, CR structure on (2n + 1)-manifolds and a new structure, pseudo-conformal quaternionic CR structure on (4n + 3)-manifolds.

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