Gromov-Lawson-Schoen-Yau theory and isoparametric foliations

Details Gromov-Lawson-Schoen-Yau theory and isoparametric foliations Gromov-Lawson-Schoen-Yau theory and isoparametric foliations

2011-07-26

arxiv.org/abs/1107.5234v1

Mathematics

Differential Geometry

Scientific paper

Motivated by the celebrated Gromov-Lawson-Schoen-Yau surgery the- ory on
metrics of positive scalar curvature, the present paper constructs a double
manifold associated with a minimal isoparametric hypersurface in the unit
sphere. The resulting double manifold carries a metric of positive scalar
curvature and an isoparametric foliation as well.

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