BIHARMONIC CURVES INTO QUADRICS

DOI10.1017/S0017089514000172zbMath1322.58010arXiv1309.0631OpenAlexW2964107097MaRDI QIDQ2940232

Andrea Ratto, Stefano Montaldo

Publication date: 26 January 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0631

zbMATH Keywords

proper biharmonic curvebiharmonic curves into quadrics

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (7)

Classification of f-biharmonic curves in Lorentz-Minkowski space ⋮ Higher order energy functionals and the Chen-Maeta conjecture ⋮ Higher order energy functionals ⋮ On polyharmonic helices in space forms ⋮ Index and nullity of proper biharmonic maps in spheres ⋮ Proper \(r\)-harmonic submanifolds into ellipsoids and rotation hypersurfaces ⋮ Biharmonic submanifolds into ellipsoids

Cites Work

• Unnamed Item
• A note on biharmonic curves in Sasakian space forms
• The Euler-Lagrange method for biharmonic curves
• Biharmonic curves on an invariant surface
• Affine biharmonic curves in 3-dimensional homogeneous geometries
• Biharmonic curves in 3-dimensional Sasakian space forms
• Curvature formulas for implicit curves and surfaces
• BIHARMONIC LEGENDRE CURVES IN SASAKIAN SPACE FORMS
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$

This page was built for publication: BIHARMONIC CURVES INTO QUADRICS