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Cited 3 time in webofscience Cited 5 time in scopus
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Subconformal Yamabe Equation and Automorphism Groups of Almost CR Manifolds

Authors
Joo, Jae-CheonLee, Kang-Hyurk
Issue Date
Jan-2015
Publisher
SPRINGER
Keywords
Almost CR manifolds; Contact sub-Riemannian manifolds; Subconformal Yamabe equation
Citation
JOURNAL OF GEOMETRIC ANALYSIS, v.25, no.1, pp 436 - 470
Pages
35
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF GEOMETRIC ANALYSIS
Volume
25
Number
1
Start Page
436
End Page
470
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/17500
DOI
10.1007/s12220-013-9435-4
ISSN
1050-6926
1559-002X
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).
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자연과학대학 (수학물리학부)
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