Biharmonic hypersurfaces in 4‐dimensional space forms
By A. Balmuş, Stefano Montaldo, C. Oniciuc. 2007
98 citations recorded by the source corpus.
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4‐dimensional space forms (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/0e597f7ed21fafcac6055109ad981460a2cbff3d
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Some open problems and conjectures on submanifolds of finite type: recent development (2014, unknown): “• Biharmonic hypersurfaces in H(4)(−1) [11].”
- Biharmonic PNMC submanifolds in spheres (2011, background): “The goal of this paper is to continue the study of proper biharmonic submanifolds in Sn that was initiated for the very first time in [19] and then developed in [2] – [7], [23, 25].”
- Biharmonic submanifolds of $${\mathbb{C}P^n}$$ (2009, background): “er-biharmonic submanifolds, i.e. on submanifolds such that the inclusion map is a proper-biharmonic map. Theproper-biharmonicsubmanifoldsofa real space formwere extensively studied, see, for example, [3, 4, 5, 6, 8, 11]. Naturally, the next step has been the study of proper-biharmonic submanifolds o”