## The Tanaka-Webster connection for almost $$\mathcal S$$-manifolds and Cartan geometry.(English)Zbl 1114.53022

The paper discusses very interesting relations between the so called $$f$$-structures, CR-geometries, pseudo-Hermitian structures and more. The point of view includes the classical approaches to Cartan geometries and results in explicit information on the so called Webster-Tanaka connections. In particular, a CR-integrable $$S$$-structure is interpreted as a reductive Cartan geometry with a canonical linear connection and several properties of this connection are linked with the related structures.
Reviewer: Jan Slovák (Brno)

### MSC:

 53C10 $$G$$-structures 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53B05 Linear and affine connections

### Keywords:

almost $$\mathcal S$$-structure; Cartan connection
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