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Results tagged with riemannian-geometry
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user 6728
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.
6
votes
Positively curved metrics on $S^2\times S^2$
An alternative proof of this result is to realize that the injection into the first factor $i:S^2\to S^2\times S^2$ gives you a "soul" of the warped product. By that I mean that the composition of the …
- 141
8
votes
Possible isometries of a positively curved $S^2\times S^2$
You should look at Andrew Hick's thesis,
Andrew Hicks, Group actions and the topology of nonnegatively curved $4$-manifolds, Illinois Journal of Mathematics. Volume 41, Issue 3 (1997), 421-437.
A …
- 141