English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The notion of Schwarzian derivative for locally univalent holomorphicfunctions on complex plane was generalized for conformal diffeomorphisms byOsgood and Stowe in 1992 [27]. We shall identify a tensor that may serve as ananalogue of the Schwarzian of Osgood and Stowe for CR mappings, and then usethe tensor to define and study the CR M\"obius transformations and metrics ofpseudo-hermitian manifolds. We shall establish basic properties of the CRSchwarzian and a local characterization of CR spherical manifolds in terms offully integrability of the CR M\"obius equation. In another direction, we shallprove two rigidity results for M\"obius change of metrics on compact CRmanifolds.

The Schwarzian derivative and M\"obius equation on strictly pseudo-convex CR manifolds