Diffeomorphisms of the Klein Bottle and Projective Plane
High Energy Physics - Theory
2008-02-03 v1 funct-an
Differential Geometry
Abstract
We calculate the Riemann curvature tensor and sectional curvature for the Lie group of volume-preserving diffeomorphisms of the Klein bottle and projective plane. In particular, we investigate the sign of the sectional curvature, and find a possible disagreement with a theorem of Lukatskii. We suggest an amendment to this theorem.
Keywords
Cite
@article{arxiv.hep-th/9401068,
title = {Diffeomorphisms of the Klein Bottle and Projective Plane},
author = {J. S. Apps and J. S. Dowker},
journal= {arXiv preprint arXiv:hep-th/9401068},
year = {2008}
}
Comments
18 pages, LATEX