Scalar curvature of defineable CAT-spaces.
Bernig, Andreas (2003)
Advances in Geometry
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Scalar curvature of defineable CAT-spaces.
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Yampolsky, Alexander L. Yampolsky, Alexander L. (2002)
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We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature , we give a description of the totally geodesic unit vector fields for and and prove a non-existence result for . We also found a family of vector fields on the hyperbolic 2-plane of curvature which generate foliations on with leaves of constant...