To refer to this page use:
|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.|
|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|
|Pages:||405 - 465|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||ADVANCES IN MATHEMATICS|
Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.