Spaces of Riemannian metrics on open manifolds |
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Authors: | Jürgen Eichhorn |
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Affiliation: | 1. Fachbereich Mathematik Jahnstrae 15a, 17487, Greifswald, Germany
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Abstract: | We define for the set M of metrics on an open manifold M n suitable uniform structures, obtain completed spaces b,m M or M r (I, B k ), respectively and calculate for each component of M r (I, B k ) the infinitedimensional geometry. In particular, we show that the sectional curvature is non positive. |
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