Topology and curvature of isoparametric families in spheres
DOI10.1007/s40304-021-00259-2zbMath1525.53032arXiv2103.15605OpenAlexW3151813639WikidataQ114219392 ScholiaQ114219392MaRDI QIDQ6113644
Zizhou Tang, Wenjiao Yan, Chao Qian
Publication date: 11 July 2023
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.15605
Ricci curvaturesectional curvatureisoparametric hypersurfacesLusternik-Schnirelmann categoryisoparametric foliationsfocal submanifoldsparallelizability
Sphere bundles and vector bundles in algebraic topology (55R25) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Clifford algebras, spinors (15A66) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Errata to: ``Isoparametric hypersurfaces with \((g,m)=(6,2)\)
- Isoparametric hypersurfaces with four principal curvatures. III.
- Isoparametric foliation and Yau conjecture on the first eigenvalue
- Schoen-Yau-Gromov-Lawson theory and isoparametric foliations
- On Ricci tensor of focal submanifolds of isoparametric hypersurfaces
- Isoparametrische Hyperflächen in Sphären. I
- On the non-existence of elements of Hopf invariant one
- Some non-stable homotopy groups of Lie groups
- Quartic isoparametric hypersurfaces and quadratic forms
- On the Lusternik-Schnirelmann category of Stiefel manifolds
- Isoparametric foliation and a problem of Besse on generalizations of Einstein condition
- Small values of the Lusternik-Schnirelman category for manifolds
- Dupin hypersurfaces, group actions and the double mapping cylinder
- Isoparametric functions on Riemannian manifolds. I
- On the topology of Clifford isoparametric hypersurfaces
- Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
- Cliffordalgebren und neue isoparametrische Hyperflächen
- On stable parallelizability of \(G_{k,n}\) and related manifolds
- Isoparametric hypersurfaces with four distinct principal curvatures
- Lusternik-Schnirelmann category of 3-manifolds
- On the Lusternik-Schnirelmann category of Lie groups
- On some types of isoparametric hypersurfaces in spheres. I
- On some types of isoparametric hypersurfaces in spheres. II
- On category, in the sense of Lusternik-Schnirelmann
- On category weight and its applications
- The linear isotropy group of \(G_ 2/SO(4)\), the Hopf fibering and isoparametric hypersurfaces
- A finiteness theorem for isoparametric hypersurfaces
- Dual submanifolds in rational homology spheres
- Lusternik--Schnirelmann category of a sphere-bundle over a sphere.
- Codimension two immersions of oriented Grassmann manifolds
- New examples of Willmore submanifolds in the unit sphere via isoparametric functions. II
- Isoparametric hypersurfaces with \((g,m)=(6,2)\)
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Isoparametric hypersurfaces with four principal curvatures. IV
- On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres
- Isoparametric hypersurfaces with four principal curvatures
- Isoparametric foliation and Yau conjecture on the first eigenvalue. II.
- Secondary cohomology operations induced by the diagonal mapping
- On the groups \(J(X)\). IV
- The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
- Minimal submanifolds of low cohomogeneity
- On the Chern conjecture for isoparametric hypersurfaces
- Geometry of Hypersurfaces
- Geometry of G2 orbits and isoparametric hypersurfaces
- Isoparametric hypersurfaces with four principal curvatures, II
- Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung
- The Homotopy Theory of Sphere Bundles Over Spheres (II)
- Isoparametric hypersurfaces, case g=6, m=1
- On the Lusternik–Schnirelmann category of Grassmannians
- On the topology of isoparametric hypersurfaces with four distinct principal curvatures
- SOME EXISTENCE AND NONEXISTENCE RESULTS OF ISOMETRIC IMMERSIONS OF RIEMANNIAN MANIFOLDS
- Two special cases of Ganea’s conjecture
- Some results in E. Cartan's theory of isoparametric families of hypersurfaces
- Riemannian Manifolds with Positive Sectional Curvature
- A Note on the Parallelizability of Sphere-Bundles over Spheres
- Vector fields on spheres
This page was built for publication: Topology and curvature of isoparametric families in spheres
