Invariant Metrics with Nonnegative Curvature on Compact Lie Groups
نویسندگان
چکیده
منابع مشابه
Invariant Metrics with Nonnegative Curvature on Compact Lie Groups
We classify the left-invariant metrics with nonnegative sectional curvature on SO(3) and U(2).
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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...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2007
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2007-003-7