Classification results for biharmonic submanifolds in spheres
From MaRDI portal
Publication:1001427
DOI10.1007/s11856-008-1064-4zbMath1172.58004arXivmath/0701155OpenAlexW2140308017WikidataQ125904229 ScholiaQ125904229MaRDI QIDQ1001427
Adina Balmuş, Stefano Montaldo, Cezar Dumitru Oniciuc
Publication date: 17 February 2009
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701155
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Unique continuation property for biharmonic hypersurfaces in spheres, Biharmonic maps from tori into a 2-sphere, Biharmonic Hypersurfaces of LP-Sasakian Manifolds, On conformal biharmonic immersions, On biharmonic hypersurfaces with constant scalar curvatures in $\mathbb S^5$, Some recent progress of biharmonic submanifolds, Biharmonic maps from a 2-sphere, Complete biconservative surfaces in \(\mathbb{R}^3\) and \(\mathbb{S}^3\), Polyharmonic hypersurfaces into space forms, Biharmonic PNMC submanifolds in spheres, Bi-eigenmaps and biharmonic submanifolds in a sphere, Bochner-Simons formulas and the rigidity of biharmonic submanifolds, Biharmonic tori in spheres, \(L_k\)-biharmonic hypersurfaces in space forms, Biharmonic and biconservative hypersurfaces in space forms, Recent progress of biharmonic hypersurfaces in space forms, Biharmonic hypersurfaces in a conformally flat space, Biharmonic submanifolds with parallel mean curvature in \(\mathbb{S}^{n}\times\mathbb{R}\), Remarks on biharmonic hypersurfaces in space forms, Biharmonic hypersurfaces in hemispheres, Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean 5-space, Theory and numerics for Chen's flow of curves, Biharmonic conjectures on hypersurfaces in a space form, Some classifications of biharmonic hypersurfaces with constant scalar curvature, Biharmonic hypersurfaces with bounded mean curvature, Biharmonic hypersurfaces in 5-dimensional non-flat space forms, Geometry of Sasaki manifolds, Kähler cone manifolds and bi-harmonic submanifolds, Biharmonic maps in two dimensions, Biharmonic surfaces with parallel mean curvature in complex space forms, A new gap for \textit{CMC} biharmonic hypersurfaces in Euclidean spheres, Biharmonic hypersurfaces with constant scalar curvature in space forms, A general approach to equivariant biharmonic maps, Biharmonic submanifolds with parallel mean curvature vector in pseudo-Euclidean spaces, Biharmonic submanifolds with parallel mean curvature vector field in spheres, Biharmonic conformal maps in dimension four and equations of Yamabe-type, Biharmonic integral \(\mathcal{C}\)-parallel submanifolds in 7-dimensional Sasakian space forms, Biharmonic hypersurfaces in a sphere, Properly immersed submanifolds in complete Riemannian manifolds, Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature, Subelliptic biharmonic maps, The bienergy of unit vector fields, New Examples of Biharmonic Submanifolds in CPn and S2n+1*, Sasaki manifolds, Kähler cone manifolds and biharmonic submanifolds, Harmonic and Biharmonic Maps at Iaşi, Biharmonic submanifolds of pseudo-Riemannian manifolds, A class of biminimal Legendrian submanifolds in Sasakian space forms, Classification of \(\eta \)-biharmonic surfaces in non-flat Lorentz space forms, Surfaces in Euclidean 3-space whose normal bundles are tangentially biharmonic, On characterization of \(\mathfrak B\)-canal surfaces in terms of biharmonic \(\mathfrak B\)-slant helices according to Bishop frame in Heisenberg group Heis\(^{3}\), A classification result for biminimal Lagrangian surfaces in complex space forms, Biharmonic submanifolds of \({\mathbb{C}\mathbb{P}^n}\), Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor, A class of Weingarten surfaces in Euclidean 3-space, A note on biharmonic curves in Sasakian space forms, On Chen's biharmonic conjecture for hypersurfaces in \(\mathbb{R}^5\), Biminimal Lagrangian \(H\)-umbilical submanifolds in complex space forms, On the generalized Chen's conjecture on biharmonic submanifolds, Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries, Unnamed Item, Biharmonic maps on principal \(G\)-bundles over complete Riemannian manifolds of nonpositive Ricci curvature, On biharmonic submanifolds in non-positively curved manifolds, SUBMANIFOLDS WITH BIHARMONIC GAUSS MAP, $f$-biminimal maps between Riemannian manifolds, A classification of biconservative hypersurfaces in a pseudo-Euclidean space, Ideal CR Submanifolds, Biharmonic submanifolds with parallel normalized mean curvature vector field in pseudo-Riemannian space forms, Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces, Biharmonic hypersurfaces in Sasakian space forms, Classification theorems for biharmonic real hypersurfaces in a complex projective space, Biharmonic hypersurfaces with three distinct principal curvatures in spheres, On biharmonic hypersurfaces in 6-dimensional space forms, f−BIHARMONIC CURVES WITH TIMELIKE NORMAL VECTOR ON LORENTZIAN SPHERE, Biharmonic submanifolds into ellipsoids, Classification of proper biharmonic hypersurfaces in pseudo-Riemannian space forms, Explicit classification of biconservative surfaces in Lorentz 3-space forms, Stability and the index of biharmonic hypersurfaces in a Riemannian manifold, Harmonic maps and biharmonic Riemanian submersions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Biharmonic submanifolds in spheres.
- Biharmonic anti-invariant submanifolds in Sasakian space forms
- Homogeneity and some curvature conditions for hypersurfaces
- Biharmonic curves in the generalized Heisenberg group
- \(p\)-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps
- BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES
- BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
- Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
- Harmonic Mappings of Riemannian Manifolds