Invariant metrics with nonnegative curvature on SO(4) and other Lie groups

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We develop techniques for classifying the nonnegatively curved left-invariant metrics on a compact Lie group G. We prove rigidity theorems for general G and a partial classification for G=SO(4). Our approach is to reduce the general question to an infinitesimal version; namely, to classify the directions one can move away from a fixed bi-invariant metric such that curvature variation formulas predict nearby metrics are nonnnegatively curved.
22 pages

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Differential Geometry, Metric Geometry, 53C

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http://salesiana.dossiersoluciones.com/handle/123456789/123639

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702241
 http://arxiv.org/abs/math/0702241

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arXiv