Riemannian submersions, minimal immersions and cohomology class

DOI10.3792/PJAA.81.162zbMath1147.53312OpenAlexW2019384361WikidataQ115219908 ScholiaQ115219908MaRDI QIDQ935665

Bang-Yen Chen

Publication date: 12 August 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.81.162

zbMATH Keywords

cohomology classRiemannian submersionminimal immersiontotally geodesic fibers

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (14)

Chen-Ricci inequalities for Riemannian maps and their applications ⋮ On optimal inequalities for anti-invariant Riemannian submersions from conformal Sasakian space forms ⋮ Scalar curvature of Lagrangian Riemannian submersions and their harmonicity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ DDVV-type inequality for skew-symmetric matrices and Simons-type inequality for Riemannian submersions ⋮ Rigidity results for spin manifolds with foliated boundary ⋮ Clifford systems, Cartan hypersurfaces and Riemannian submersions ⋮ Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms ⋮ Riemannian submersions with minimal fibers and affine hypersurfaces ⋮ Reflections on some research work of Bang-Yen Chen ⋮ Chen’s first inequality for Riemannian maps ⋮ Stability and integrability of horizontally conformal maps and harmonic morphisms ⋮ Curvature invariants for anti-invariant Riemannian submersions from cosymplectic space forms

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