Diffeomorphisms of the Klein Bottle and Projective Plane

Details Diffeomorphisms of the Klein Bottle and Projective Plane Diffeomorphisms of the Klein Bottle and Projective Plane

1994-01-14

arxiv.org/abs/hep-th/9401068v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LATEX

Scientific paper

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.

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