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Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem
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Artikel-Nr:
9789814295703
Veröffentl:
2011
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
08.03.2011
Seiten:
240
Autor:
Stefan P. Ivanov
Gewicht:
506 g
Format:
235x157x18 mm
Sprache:
Englisch
Beschreibung:
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.
Analysis: Variational Problems Related to Sobolev Inequalities on Carnot Groups; Groups of Heisenberg and Iwasawa Types Explicit Solutions to the Yamabe Equation; Symmetries Solutions on Groups of Iwasawa Type; Geometry: Quaternionic Contact Manifolds - Connection, Curvature and qc-Einstein Structures; Quaternionic Contact Conformal Curvature Tensor; The Quaternionic Contact Yamabe Pronlem and the Yamabe Constant of the qc Spheres; CR Manifolds - Cartan and Chern-Moser Tensor and Theorem.