Triharmonic curves along Riemannian submersions

DOI10.5556/j.tkjm.55.2024.5066zbMATH Open1537.53016MaRDI QIDQ6544866

Bayram Ṣahin, Gizem Köprülü Karakaş

Publication date: 27 May 2024

Published in: Tamkang Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldRiemannian submersioncomplex space formbiharmonic curvestriharmonic curves

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43) Sub-Riemannian geometry (53C17)

Cites Work

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• Helical geodesic immersions into complex space forms
• Almost Hermitian submersions
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• Triharmonic morphisms between Riemannian manifolds
• The fundamental equations of a submersion
• Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature

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