Invariant Metrics with Nonnegative Curvature on SO(4)

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We derive a curvature-variation formula for a path of left-invariant metrics on a compact Lie group, beginning at a bi-invariant metric. We prove rigidity theorems for paths which remain nonnegatively curved, and we make progress towards a classification of the left-invariant metrics with nonnegative curvature on SO(4).

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Differential Geometry, Metric Geometry, 53C

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http://salesiana.dossiersoluciones.com/handle/123456789/115423

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608363
 http://arxiv.org/abs/math/0608363

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arXiv