most citedTotally Geodesic Foliations and Doubly Ruled Surfaces in a Compact Lie Group

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math.DG2009

Roots of a compact Lie group

Kristopher Tapp

This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively ele…

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…

math.DG2006

Invariant Metrics with Nonnegative Curvature on SO(4)

Kristopher Tapp

We derive a curvature-variation formula for a path of left-invariant metrics on a compact Lie group, beginning at a bi-invariant metric. We prove rigidity theorems for paths which…