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A Compatibility Condition Between Invariant Riemannian Metrics and Levi-Whitehead Decompositions on a Coset Space
Introduction.Let M = G/K be an effective coset space of a connected Lie group by a compact subgroup.Then there may be many G-invariant riemannian metrics on M. But one expects the algebraic structure of the pair (G, K) to have a strong influence on the curvatures of M relative to …