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Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometry

Author(s): Cheng, Jih-Hsin; Yang, Paul C; Zhang, Yongbing

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Abstract: We express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry. We deduce the Euler-Lagrange equations of the associated energy functionals. Many solutions are given and discussed. In relation to the singular CR Yamabe problem, we show that one of the energy functionals appears as the coefficient (up to a constant multiple) of the log term in the associated volume renormalization. (C) 2018 Published by Elsevier Inc.
Publication Date: 7-Sep-2018
Electronic Publication Date: 18-Jul-2018
Citation: Cheng, Jih-Hsin, Yang, Paul, Zhang, Yongbing. (2018). Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometry. ADVANCES IN MATHEMATICS, 335 (405 - 465. doi:10.1016/j.aim.2018.07.006
DOI: doi:10.1016/j.aim.2018.07.006
ISSN: 0001-8708
EISSN: 1090-2082
Pages: 405 - 465
Language: English
Type of Material: Journal Article
Journal/Proceeding Title: ADVANCES IN MATHEMATICS
Version: Author's manuscript



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