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Results tagged with riemannian-geometry
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user 99468
Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
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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 …
- 893
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Lorentzian analogue to Thurston geometries
Is there an analogue to the eight Thurston geometries for Lorentz metrics?
If so, how many "disctinct" geometries are there in the Lorentzian case?
And which closed 3-manifolds admit metrics which a …
- 893