Curvature forms and Curvature functions for 2-manifolds with boundary
Differential Geometry
2014-09-17 v3
Abstract
We obtained that any 2-form and any smooth function on 2-manifolds with boundary can be realized as the curvature form and the gaussian curvature function of some Riemmanian metric, respectively.
Cite
@article{arxiv.0905.1864,
title = {Curvature forms and Curvature functions for 2-manifolds with boundary},
author = {Kaveh Eftekharinasab},
journal= {arXiv preprint arXiv:0905.1864},
year = {2014}
}