Article ID Journal Published Year Pages File Type
8904646 Advances in Mathematics 2018 61 Pages PDF
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.
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Physical Sciences and Engineering Mathematics Mathematics (General)
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