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.MathematicsSCI(E)1ARTICLE5989-10182
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AbstractA statistical manifold (M, g, ▿) is a Riemannian manifold (M, g) equipped with torsion-free ...
We expand upon the notion of a pre-section for a singular Riemannian foliation (M,F) , i.e. a proper...
Maximum rank differential reflections are important in various areas of mathematics, especially Riem...
Abstract. Motivated by the celebrated Gromov-Lawson-Schoen-Yau surgery the-ory on metrics of positiv...
We will show how isoparametric submanifolds and polar actions on round spheres lead to polar foliati...
We will show how isoparametric submanifolds and polar actions on round spheres lead to polar foliati...
We extend the deep and important results of Lichnerowicz, Connes, and Gromov-Lawson which relate geo...
This book provides quick access to the theory of Lie groups and isometric actions on smooth manifold...
In this paper we address the question how to discriminate whether the gauged isometry group G_Sigma ...
In this volume we study Lagrangian Floer theory on toric manifolds from the point of view of mirror ...
We complete the classification, initiated by the second named author, of homogeneous singular Rieman...
We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the mean curvat...
Abstract We describe the doubled space of Double Field Theory as a group manifold G with an arbitrar...
The Gromov-Lawson surgery theorem builds a connection between surgery theory and positive scalar cur...
We systematically construct isoparametric functions on compact symmetric spaces using vector bundles...
AbstractA statistical manifold (M, g, ▿) is a Riemannian manifold (M, g) equipped with torsion-free ...
We expand upon the notion of a pre-section for a singular Riemannian foliation (M,F) , i.e. a proper...
Maximum rank differential reflections are important in various areas of mathematics, especially Riem...