Ricci Tensors with Rotational Symmetry on R^n
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper is considered the differential equation Ric(g)=T, where Ric(g) is the Ricci tensor of the metric g and T is a rotational symmetric tensor on R^n. A new, geometric, proof of the existence of smooth solutions of this equation, based on qualitative theory of implicitdifferential equations, is presented here. This result was obtained previously by DeTurck and Cao in 1994.
Keywords
Cite
@article{arxiv.math/0403544,
title = {Ricci Tensors with Rotational Symmetry on R^n},
author = {Ronaldo Garcia and Romildo Pina},
journal= {arXiv preprint arXiv:math/0403544},
year = {2007}
}
Comments
12 pages, 01 figure. To appear in Resenhas do IME-USP