Prescribed curvature tensor in locally conformally flat manifolds
Differential Geometry
2015-12-22 v1
Abstract
Our principal goal is to study the Prescribed Curvature Tensor problem in locally conformally flat manifolds. The solution to this problem is given explicitly for the special cases of the tensor R, including a case where the metric g is complete on Rn. Similar problems are considered for locally conformally flat manifolds. As applications of these results we exhibit explicit examples of metrics g, conformal to g they are solutions for this problem.
Keywords
Cite
@article{arxiv.1512.06724,
title = {Prescribed curvature tensor in locally conformally flat manifolds},
author = {Romildo Pina and Mauricio Pieterzack},
journal= {arXiv preprint arXiv:1512.06724},
year = {2015}
}
Comments
Our principal goal is to study the Prescribed Curvature Tensor problem in locally conformally flat manifolds