Homogeneous Metrics with Nonnegative Curvature
نویسندگان
چکیده
منابع مشابه
m at h . D G ] 2 3 Ju n 20 08 HOMOGENEOUS METRICS WITH NONNEGATIVE CURVATURE
Given compact Lie groups H ⊂ G, we study the space of G-invariant metrics on G/H with nonnegative sectional curvature. For an intermediate subgroup K between H and G, we derive conditions under which enlarging the Lie algebra of K maintains nonnegative curvature on G/H . Such an enlarging is possible if (K, H) is a symmetric pair, which yields many new examples of nonnegatively curved homogeneo...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2009
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-009-9081-z