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- W2951796013 abstract "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." @default.
- W2951796013 created "2019-06-27" @default.
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- W2951796013 date "2007-02-09" @default.
- W2951796013 modified "2023-09-27" @default.
- W2951796013 title "Invariant metrics with nonnegative curvature on SO(4) and other Lie groups" @default.
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