Characterization and examples of Chen submanifolds

DOI10.1007/BF01917994zbMath0518.53023MaRDI QIDQ1054008

Leopold Verstraelen, Paul Verheyen, Luc Gheysens

Publication date: 1983

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

shape operatorconformal transformationA-submanifold

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items

On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms, On the generalized Wintgen inequality for Lagrangian submanifolds in complex space forms, On Chen surfaces in a Minkowski space time, Spherical Chen surfaces which are mass-symmetric and of 2-type, Null 2-type Chen surfaces, Generalized rotation surfaces in \({\mathbb E^4}\), Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\), Isometric deformations of surfaces preserving the third fundamental form, On product k-Chen submanifolds, Euclidean submanifolds with Jacobi mean curvature vector field, Slant immersions, An invariant theory of spacelike surfaces in the four-dimensional Minkowski space, General rotational surfaces satisfying \(\triangle x^T=\varphi x^T\), On minimal and Chen immersions in space forms, Partial tubes and Chen submanifolds, Recent developments in Wintgen inequality and Wintgen ideal submanifolds, An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space, Generalized Chen submanifolds, Classification of surfaces with pointwise planar normal sections and its application to Fomenko's conjecture

Cites Work

• Minimal varieties in Riemannian manifolds
• Complete minimal surfaces in \(S^ 3\)
• Pseudo-umbilical submanifolds of a Riemannian manifold of constant curvature . II
• Higher Curvatures of Curves in Euclidean Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item