Hopf submanifolds in $S^{7}$ which are Willmore-Chen submanifolds

Manuel Barros, Óscar J. Garay

Type: Article

Publication Date: 1998-05-01

Citations: 20

DOI: https://doi.org/10.1007/pl00004404

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Locations

Mathematische Zeitschrift - View

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Works That Cite This (17)

Action	Title	Year	Authors
+	A note on the p-elastica in a constant sectional curvature manifold	2003	R. Huang
+	Reduction of variables for Willmore-Chen submanifolds in seven spheres	1999	Manuel Barros José L. Cabrerizo Marisa Fernández
+ PDF Chat	Free elasticae and Willmore tori in warped product spaces	1998	Manuel Barros
+ PDF Chat	Some examples of critical points for the total mean curvature functional	2000	J. Arroyo Manuel Barros Óscar J. Garay
+ PDF Chat	Willmore hypersurfaces with two distinct principal curvatures in ℝ<sup><i>n</i>+1</sup>	2012	Tongzhu Li
+	Relativistic particles with rigidity generating non-standard examples of Willmore$ndash$Chen hypersurfaces	2002	J. Arroyo Manuel Barros Óscar J. Garay
+	Willmore hypersurfaces with constant Möbius curvature in R n+1	2012	Tongzhu Li Xiang Ma Changping Wang
+ PDF Chat	Willmore–Chen tubes on homogeneous spaces in warped product spaces	1999	J. Arroyo M. Barros Óscar J. Garay
+	Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hypersurfaces	2003	J. Arroyo Óscar J. Garay M. Barros
+	Riemannian Submanifolds: A Survey	2013	Bang‐Yen Chen

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	The total squared curvature of closed curves	1984	Joel Langer David A. Singer
+ PDF Chat	$G$-total curvature of immersed manifolds	1972	Bang‐Yen Chen
+	ON STABLE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR	1975	Bang‐Yen Chen Chorng-shi Houh
+	On a Variational Problem on Hypersurfaces	1973	Bang‐Yen Chen
+	Stationary 2-type surfaces in a hypersphere	1987	Manuel Barros Bang‐Yen Chen
+ PDF Chat	The principle of symmetric criticality	1979	Richard S. Palais
+	Total mean curvature and submanifolds of finite type	1985	Paul Verheyen Pol Verstraelen
+	Total Mean Curvature and Submanifolds of Finite Type	1984	B-Y Chen