The Chen-type of the noncompact cyclides of Dupin

Filip Defever, Ryszard Deszcz, Leopold Verstraelen

Type: Article

Publication Date: 1994-01-01

Citations: 12

DOI: https://doi.org/10.1017/s001708950003055x

Abstract

Minimal submanifolds of a Euclidean space are contained in a much larger class of submanifolds, namely in the class of submanifolds of finite type. Submanifolds of finite type were introduced about a decade ago by B. Y. Chen in [2]; the first results on this subject have been collected in the books [2], [3].

Locations

Glasgow Mathematical Journal - View - PDF

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Works That Cite This (10)

Action	Title	Year	Authors
+	The Chen-Type of the Spiral Surfaces	1995	Christos Baikoussis Leopold Verstraelen
+ PDF Chat	Some open problems and conjectures on submanifolds of finite type: recent development	2014	Bang‐Yen Chen
+	On Ruled Surfaces of Coordinate Finite Type	2022	Hassan Al-Zoubi Hamza Alzaareer Amjed Zraiqat Tareq Hamadneh Waseem Al-Mashaleh
+	SUBMANIFOLDS OF FINITE TYPE AND APPLICATIONS	1993	Bang Yen Chen
+	Riemannian Submanifolds	2000	Bang‐Yen Chen
+	Quadrics of Coordinate Finite Type	2023	Mohammad A. Alkafaween Hamza Alzaareer Hassan Alzoubi
+	Tubes of coordinate finite type Gauss map in the Euclidean 3-space	2019	Hassan Al-Zoubi Hamza Alzaareer Tareq Hamadneh Mohammad Al Rawajbeh
+	Anchor rings of finite type Gauss map in the Euclidean 3-space	2019	Hassan Al-Zoubi
+	Laplace Transformations of Submanifolds	2013	Bang‐Yen Chen Leopold Verstraelen
+	Classification of Surfaces of Finite Chen II-Type	2025	Hamza Alzaareer Hassan Alzoubi Waseem Al-Mashaleh

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	On surfaces of finite type in Euclidean $3$-space	1990	Franki Dillen Johan Pas Leopold Verstraelen
+ PDF Chat	Finite type cones shaped on spherical submanifolds	1988	Óscar J. Garay
+	Quadrics of finite type	1990	Bang‐Yen Chen Franki Dillen
+ PDF Chat	Null $2$-type surfaces in $E^3$ are circular cylinders	1988	Bang‐Yen Chen
+ PDF Chat	Ruled surfaces of finite type	1990	Bang‐Yen Chen Franki Dillen Leopold Verstraelen Luc Vrancken
+	Total Mean Curvature and Submanifolds of Finite Type	1984	B-Y Chen