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arXiv · 1107.5234

Schoen-Yau-Gromov-Lawson theory and isoparametric foliations

Zizhou Tang·Yuquan Xie·Wenjiao Yan
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Abstract

Motivated by the celebrated Schoen-Yau-Gromov-Lawson surgery theory on metrics of positive scalar curvature, we construct 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. To investigate the topology of the double manifolds, we use K-theory and the representation of the Clifford algebra for the FKM-type, and determine completely the isotropy subgroups of singular orbits for homogeneous case.

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Zizhou Tang, Yuquan Xie, Wenjiao Yan. 2012-08-24. Schoen-Yau-Gromov-Lawson theory and isoparametric foliations. https://arxiv.org/abs/1107.5234

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