1.

Record Nr.

UNINA9910464496003321

Autore

Ivanov Stefan P

Titolo

Extremals for the Sobolev inequality and the quaternionic contact Yamabe problem [[electronic resource] /] / Stefan P. Ivanov, Dimiter N. Vassilev

Pubbl/distr/stampa

Singapore ; ; Hackensack, N.J., : World Scientific, c2011

ISBN

1-283-23465-3

9786613234650

981-4295-71-X

Descrizione fisica

1 online resource (238 p.)

Altri autori (Persone)

VassilevDimiter N

Disciplina

515.782

Soggetti

Geometry, Differential

Contact manifolds

Group theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

pt. 1. Analysis -- pt. 2. Geometry.

Sommario/riassunto

The aim of this book is to give an account of some important new developments in the study of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally flat case of the quaternionic Heisenberg group or sphere, where complete and detailed proofs are given, together with a chapter on the conformal curvature tensor introduced very recently by the authors. The starting point of the considered problems is the well-known Folland-Stein Sobolev type embedding and its sharp form that is determined based on geometric analysis. This book also sits at the interface of the gene