Proper biharmonic submanifolds in a sphere

Xianfeng Wang, Lan Wu

Type: Article

Publication Date: 2011-12-12

Citations: 12

DOI: https://doi.org/10.1007/s10114-012-9018-5

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Locations

Acta Mathematica Sinica English Series - View

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Works That Cite This (13)

Action	Title	Year	Authors
+	Some classifications of biharmonic hypersurfaces with constant scalar curvature	2017	Shun Maeta Ye‐Lin Ou
+	Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints	2010	Huaqing Sun Yuming Shi
+	Minimality on biharmonic space-like submanifolds in pseudo-Riemannian space forms	2015	Jiancheng Liu Li Du Juan Zhang
+ PDF Chat	A new gap for CMC biharmonic hypersurfaces in Euclidean spheres	2023	Simona Nistor
+	Triharmonic CMC hypersurfaces in space forms with 4 distinct principal curvatures	2021	Hang Chen Zhida Guan
+	Some open problems and conjectures on submanifolds of finite type: recent development	2014	Bang‐Yen Chen
+	New results toward the classification of biharmonic submanifolds in S^n	2012	A. Balmuş Stefano Montaldo Cezar Oniciuc
+ PDF Chat	New results toward the classification of biharmonic submanifolds in 𝕊n	2012
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Works Cited by This (17)

Action	Title	Year	Authors
+	Hypersurfaces with constant scalar curvature in space forms	1996	Li Haizhong
+ PDF Chat	Reduction of the codimension of an isometric immersion	1971	Joseph Erbacher
+ PDF Chat	A formula of Simons' type and hypersurfaces with constant mean curvature	1969	Katsumi Nomizu Brian Smyth
+	Isometric immersions of warped products	1996	Stefan Nölker
+	Harmonic Mappings of Riemannian Manifolds	1964	James Eells J. H. Sampson
+	Biharmonic submanifolds in spheres	2002	Renzo Caddeo Stefano Montaldo Cezar Oniciuc
+	On the decay of matrix coefficients for exceptional groups	1996	Jianshu Li Chen-Bo Zhu
+	The second variational formula for Willmore submanifolds in Sn	2001	Zhen Guo Changping Wang Haizhong Li
+	2-harmonic maps and their first and second variational formulas	2008	Jiang Guoying
+	Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor	1974	Masafumi Okumura