Diffeomorphisms of the Klein Bottle and Projective Plane

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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.
18 pages, LATEX

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High Energy Physics - Theory, Functional Analysis, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152593

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9401068
 http://arxiv.org/abs/hep-th/9401068

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arXiv