Unit tangent sphere bundles with constant scalar curvature

Boeckx, E.   ; Vanhecke, L.

Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 523-544

Abstract (VO)

As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.

Détail

Classification : 53C25
Keywords: unit tangent sphere bundles; constant scalar curvature; Einstein and Ricci-parallel metrics

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