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Some topological and metric properties of the space of Lorentz metrics

✍ Scribed by Pierre Mounoud

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
77 KB
Volume
15
Category
Article
ISSN
0926-2245

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✦ Synopsis

The space of Lorentz metrics on a compact manifold is very different from its Riemannian analogue. There are usually many connected components. We show that some of them turn out to be not simply connected. We also show that, in dimension greater than 2, the distance between two components is always 0.

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