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	Schoen-Yau-Gromov-Lawson theory and isoparametric foliations
	Tang, Zizhou ; Xie, Yuquan ; Yan, Wenjiao
	2012
关键词	POSITIVE SCALAR CURVATURE HYPERSURFACES SPHERES MANIFOLDS
英文摘要	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.; Mathematics; SCI(E); 1; ARTICLE; 5; 989-1018; 20
语种	英语
出处	SCI
出版者	communications in analysis and geometry
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/392468]
专题	数学科学学院
推荐引用方式 GB/T 7714	Tang, Zizhou,Xie, Yuquan,Yan, Wenjiao. Schoen-Yau-Gromov-Lawson theory and isoparametric foliations. 2012-01-01.

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