J. Eschenburg

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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 $Σ^{7}$ as a biquotient of the Lie group $G = S p (2)$ . We show for a 2-parameter family of left invariant metrics on $G$ t…

math.DG2002

Steepest descent on real flag manifolds

J. -H. Eschenburg, A. -L. Mare

Real flag manifolds are the isotropy orbits of noncompact symmetric spaces $G / K$ . Any such manifold $M$ enjoys two very peculiar geometric properties: It carries a transitive actio…