Examples and classification of Riemannian submersions satisfying a basic equality

DOI10.1017/S000497270003522XzbMath1093.53064OpenAlexW2027990608WikidataQ115336927 ScholiaQ115336927MaRDI QIDQ5472696

Bang-Yen Chen

Publication date: 12 June 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270003522x

zbMATH Keywords

Riemannian submersionimmersionHopf fibrationCartan hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations (differential geometric aspects) (53C12)

Related Items (8)

Chen-Ricci inequalities for Riemannian maps and their applications ⋮ Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms ⋮ Unnamed Item ⋮ Riemannian submersions, minimal immersions and cohomology class ⋮ Clifford systems, Cartan hypersurfaces and Riemannian submersions ⋮ Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms ⋮ Chen’s first inequality for Riemannian maps ⋮ Curvature invariants for anti-invariant Riemannian submersions from cosymplectic space forms

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• The fundamental equations of a submersion
• Riemannian geometry of contact and symplectic manifolds

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