Flats and submersions in non-negative curvature

作者：Pro Curtis^*; Wilhelm Frederick

来源：Geometriae Dedicata, 2012, 161(1): 109-118.

DOI：10.1007/s10711-012-9696-2

• Riemannian submersions
• Non-negative sectional curvature
• Flat submanifolds
• Isometric group actions

We find constraints on the extent to which O%26apos;Neill%26apos;s horizontal curvature equation can be used to create positive curvature on the base space of a Riemannian submersion. In particular, we study when K. Tapp%26apos;s theorem on Riemannian submersions of compact Lie groups with bi-invariant metrics generalizes to arbitrary manifolds of non-negative curvature.

• 出版日期2012-12