Almost positive curvature on the Gromoll-Meyer sphere
(2008)
Journal Article
Eschenburg, J., & Kerin, M. (2008). Almost positive curvature on the Gromoll-Meyer sphere. Proceedings of the American Mathematical Society, 136(9), 3263-3270. https://doi.org/10.1090/s0002-9939-08-09429-x
Gromoll and Meyer have represented a certain exotic 7-sphere Σ7 as a biquotient of the Lie group G = Sp(2). We show for a 2-parameter family of left invariant metrics on G that the induced metric on Σ7 has strictly positive sectional curvature at all... Read More about Almost positive curvature on the Gromoll-Meyer sphere.