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Sectional Curvature. Spaces of Constant Curvature. Weyl Hypothesis

1997
As we have seen, by introducing the notion of curvature tensor K ∇, with any pair of tangent vectors Y, Z ∈ T x M we associated a linear transformation K x (Y, Z) of the tangent space T x M. Let F x be an oriented plane spanned by Y, Z (that is, Y, Z are basis vectors in F x .) Let S F be a surface (in M) generated by geodesics tangent to F, more ...
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Sectional curvature in general relativity

General Relativity and Gravitation, 1987
G S Hall
exaly  

Manifolds with positive sectional curvature almost everywhere

Inventiones Mathematicae, 2002
Burkhard Wilking
exaly  

Affine spheres with constant affine sectional curvature

Mathematische Zeitschrift, 1991
Luc Vrancken, An-Min Li, Udo Simon
exaly  

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