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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

3 votes
1 answer
282 views

Closed Semi-Riemannian manifolds with non-compact isometry group

Does anyone know a good reference for general results about closed Semi-Riemannian manifolds which have a non-compact isometry group? Edit: My goal is to understand a bit better what the intuition b …
JS.'s user avatar
  • 893
20 votes
1 answer
1k views

Why does the proof of Myers and Steenrod fail in the Lorentzian case?

This is my first question on this site. I hope it is not inappropriate on MO. Myers and Steenrod proved 1939 that the isometry group of a Riemannian manifold is a lie group. I add a picture where Ko …
JS.'s user avatar
  • 893