Some 2-type submanifolds and applications

DOI10.5802/AFST.652zbMath0636.53064OpenAlexW2065372006MaRDI QIDQ3776207

Huei-Shyong Lue, Bang-Yen Chen

Publication date: 1988

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1988_5_9_1_121_0

zbMATH Keywords

parallel mean curvature vector2-type submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (8)

Hypersurfaces with constant scalar curvature and constant mean curvature ⋮ Null 2-type hypersurfaces in Euclidean 6-space ⋮ Null-2 type \(\delta (r)\)-ideal hypersurfaces in Euclidean space ⋮ On some \(L_k\)-finite-type Euclidean hypersurfaces ⋮ Null finite type hypersurfaces in space forms ⋮ Null 2-type hypersurfaces with at most three distinct principal curvatures in Euclidean space ⋮ Linear Weingarten \(\lambda\)-biharmonic hypersurfaces in Euclidean space ⋮ \(\delta(3)\)-ideal null 2-type hypersurfaces in Euclidean spaces

Cites Work

• Efimov's theorem about complete immersed surfaces of negative curvature
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