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math.DG2007★ 5 cited
Flats in Riemannian Submersions from Lie Groups
Kristopher Tapp
We prove that any base space of Riemannian submersion from a compact Lie group (with bi-invariant metric) must have a basic property previously known for normal biquotients; namely…
math.DG2007
Invariant metrics with nonnegative curvature on SO(4) and other Lie groups
Jack Huizenga, Kristopher Tapp
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 classificatio…