Energy characteristics of subordination chains
Mathematical Physics
2007-05-23 v1 Complex Variables
math.MP
Abstract
We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Loewner-Kufarev evolution equations. The action functional is constructed and its time variation is obtained. It represents the infinitesimal version of the action of the Virasoro-Bott group over the space of analytic univalent functions.
Cite
@article{arxiv.math-ph/0509072,
title = {Energy characteristics of subordination chains},
author = {Alexander Vasil'ev},
journal= {arXiv preprint arXiv:math-ph/0509072},
year = {2007}
}
Comments
12 pages