Subconformal Yamabe Equation and Automorphism Groups of Almost CR Manifolds

Jae Cheon Joo; Kang Hyurk Lee

doi:10.1007/s12220-013-9435-4

Subconformal Yamabe Equation and Automorphism Groups of Almost CR Manifolds

Jae Cheon Joo
, Kang Hyurk Lee^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We construct a new curvature invariant for a subclass of contact sub-Riemannian structures which is transformed by a Yamabe type equation under a subconformal change. We apply this equation to characterize strongly pseudoconvex almost CR manifolds with nonproperly acting automorphism group. This generalizes Schoen’s theorem for the CR case in Schoen (Geom. Funct. Anal. 5:464–481, 1995).

Original language	English
Pages (from-to)	436-470
Number of pages	35
Journal	Journal of Geometric Analysis
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s12220-013-9435-4
State	Published - Jan 2013
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2013, Mathematica Josephina, Inc.

Keywords

Almost CR manifolds
Contact sub-Riemannian manifolds
Subconformal Yamabe equation

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-013-9435-4

Cite this

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abstract = "We construct a new curvature invariant for a subclass of contact sub-Riemannian structures which is transformed by a Yamabe type equation under a subconformal change. We apply this equation to characterize strongly pseudoconvex almost CR manifolds with nonproperly acting automorphism group. This generalizes Schoen{\textquoteright}s theorem for the CR case in Schoen (Geom. Funct. Anal. 5:464–481, 1995).",

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N2 - We construct a new curvature invariant for a subclass of contact sub-Riemannian structures which is transformed by a Yamabe type equation under a subconformal change. We apply this equation to characterize strongly pseudoconvex almost CR manifolds with nonproperly acting automorphism group. This generalizes Schoen’s theorem for the CR case in Schoen (Geom. Funct. Anal. 5:464–481, 1995).

AB - We construct a new curvature invariant for a subclass of contact sub-Riemannian structures which is transformed by a Yamabe type equation under a subconformal change. We apply this equation to characterize strongly pseudoconvex almost CR manifolds with nonproperly acting automorphism group. This generalizes Schoen’s theorem for the CR case in Schoen (Geom. Funct. Anal. 5:464–481, 1995).

KW - Almost CR manifolds

KW - Contact sub-Riemannian manifolds

KW - Subconformal Yamabe equation

UR - https://www.scopus.com/pages/publications/84880423657

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Subconformal Yamabe Equation and Automorphism Groups of Almost CR Manifolds

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this