\(f\)-biharmonic submanifolds of generalized space forms

DOI10.1007/s00025-019-1142-4zbMath1437.53051OpenAlexW2921289358MaRDI QIDQ2302210

Julien Roth, Abhitosh Upadhyay

Publication date: 25 February 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1142-4

zbMATH Keywords

generalized complex space formsgeneralized Sasakian space forms\(f\)-biharmonic submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Related Items

Classification of f-biharmonic curves in Lorentz-Minkowski space ⋮ Some types of $f$-biharmonic and bi-$f$-harmonic curves ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Biharmonic PNMC submanifolds in spheres
• Biharmonic hypersurfaces in a conformally flat space
• A note on biharmonic submanifolds of product spaces
• Biharmonic submanifolds with parallel mean curvature in \(\mathbb{S}^{n}\times\mathbb{R}\)
• On \(f\)-biharmonic maps and \(f\)-biharmonic submanifolds
• Generalized Sasakian space forms and conformal changes of the metric
• Biharmonic submanifolds of \({\mathbb{C}\mathbb{P}^n}\)
• On the generalized Chen's conjecture on biharmonic submanifolds
• Biharmonic submanifolds of generalized space forms
• On \(f\)-bi-harmonic maps and bi-\(f\)-harmonic maps between Riemannian manifolds
• Explicit formulas for biharmonic submanifolds in Sasakian space forms
• On the existence of generalized complex space forms
• The local structure of trans-Sasakian manifolds
• Generalized Sasakian-space-forms
• \(f\)-biharmonic maps and \(f\)-biharmonic submanifolds. II.
• Structures on generalized Sasakian-space-forms
• Some recent progress of biharmonic submanifolds
• Curvature Tensors on Almost Hermitian Manifolds
• ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS
• Recent developments of biharmonic conjecture and modified biharmonic conjectures
• On the characterizations of f-biharmonic legendre curves in Sasakian space forms
• Riemannian geometry of contact and symplectic manifolds

This page was built for publication: \(f\)-biharmonic submanifolds of generalized space forms