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math.DG2009★ 5 cited
Riemannian submersions from simple, compact Lie groups
Martin Kerin, Krishnan Shankar
In this paper we construct infinitely many examples of a Riemannian submersion from a simple, compact Lie group with bi-invariant metric onto a smooth manifold that cannot be a…
math.DG2007
Almost positive curvature on the Gromoll-Meyer sphere
Jost-Hinrich Eschenburg, Martin Kerin
Gromoll and Meyer have represented a certain exotic 7-sphere as a biquotient of the Lie group . We show for a 2-parameter family of left invariant metrics on t…