Liouville-type theorems for conformal mappings and their application
Differential Geometry
2016-08-24 v2
Abstract
In the present paper we prove Liouville-type theorems: non-existence theorems for conformal mappings of complete Riemannian manifolds. In addition, we give an application of these results to the theory of conharmonic transformations. A part of these results was announced in our reports on the conferences "Differential Geometry and its Applications" (July 11-15, 2016, Brno, Czech Republic) and "International Conference on Algebra, Analysis and Geometry" (June 26-July 2, 2016, Kazan, Russia).
Cite
@article{arxiv.1608.01498,
title = {Liouville-type theorems for conformal mappings and their application},
author = {Sergey E. Stepanov and Irina I. Tsyganok},
journal= {arXiv preprint arXiv:1608.01498},
year = {2016}
}