Substantial Riemannian submersions of \(S^{15}\) with 7-dimensional fibres

DOI10.1007/BF02867255zbMath0901.53022arXivdg-ga/9510009WikidataQ115391398 ScholiaQ115391398MaRDI QIDQ1386781

Akhil Ranjan

Publication date: 29 November 1998

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9510009

zbMATH Keywords

Riemannian submersionHopf fibration15-sphere

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Topology of vector bundles and fiber bundles (57R22)

Cites Work

• The radius rigidity theorem for manifolds of positive curvature
• Riemannian submersions of spheres with totally geodesic fibres
• A generalization of Berger's theorem on almost 1/4-pinched manifolds. II
• Fibrations of spheres by parallel great spheres and Berger's rigidity theorem
• Riemannian submersions with totally geodesic fibers
• The low-dimensional metric foliations of Euclidean spheres
• A generalization of Berger's rigidity theorem for positively curved manifolds
• Higher Torsion in H-Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item