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An exotic sphere with positive curvature
Published 2 Dec 2014 in math.DG and math.GT | (1412.0982v2)
Abstract: A metric with positive sectional curvature on the Gromoll-Meyer exotic 7-sphere is constructed explicitly. The proof relies on a 2-parameter family of left invariant metrics on Sp(2) and a one-parameter family of conformal deformations via an isoparametric function F on it. One byproduct is a metric with positive sectional curvature on a homotopy (but not diffeomorphic) $RP7$.
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