On the Roter type of Chen ideal submanifolds

DOI10.1007/s00025-011-0109-xzbMath1230.53017OpenAlexW2024324742WikidataQ125319353 ScholiaQ125319353MaRDI QIDQ545503

Leopold Verstraelen, Miroslava Petrović-Torgašev, Ryszard Deszcz, Małgorzata Głogowska

Publication date: 22 June 2011

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0109-x

zbMATH Keywords

submanifoldsChen ideal submanifolds\(\delta\)-curvaturepseudo-symmetric manifoldsRoter manifolds

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) Local submanifolds (53B25) Local Riemannian geometry (53B20)

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Cites Work

• Some pinching and classification theorems for minimal submanifolds
• Properties of a scalar curvature invariant depending on two planes
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen's equality
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• GEOMETRIC EXPLANATION OF THE BELTRAMI THEOREM
• On some Akivis-Goldberg type metrics
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