Index and nullity of proper biharmonic maps in spheres

DOI10.1142/S0219199719500871zbMath1460.58012arXiv1902.01621WikidataQ126623089 ScholiaQ126623089MaRDI QIDQ5152072

Andrea Ratto, Stefano Montaldo, Cezar Dumitru Oniciuc

Publication date: 18 February 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01621

zbMATH Keywords

indexnullitybienergysecond variation operatorproper biharmonic maps

Mathematics Subject Classification ID

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

Related Items (4)

On the normal stability of triharmonic hypersurfaces in space forms ⋮ On polyharmonic helices in space forms ⋮ On the second variation of the biharmonic Clifford torus in \(\mathbb{S}^4\) ⋮ Stability and the index of biharmonic hypersurfaces in a Riemannian manifold

Cites Work

• Conformal and semi-conformal biharmonic maps
• A general approach to equivariant biharmonic maps
• Biharmonic submanifolds into ellipsoids
• Rotationally symmetric biharmonic maps between models
• Total Mean Curvature and Submanifolds of Finite Type
• BIHARMONIC CURVES INTO QUADRICS
• Some recent progress of biharmonic submanifolds
• 2-harmonic maps and their first and second variational formulas
• On the biharmonic and harmonic indices of the Hopf map
• Another Report on Harmonic Maps
• The index of biharmonic maps in spheres
• Some open problems and conjectures on submanifolds of finite type: recent development
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