Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen's equality

DOI10.1007/BF02773638zbMath0896.53040OpenAlexW2014420791MaRDI QIDQ1366946

M. Petrovic, Frankie Dillen, Leopold Verstraelen

Publication date: 6 October 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773638

zbMATH Keywords

conformally flat submanifoldsEinstein submanifoldsChen's invariant \(\delta_m\)semi-symmetric submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

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Cites Work

• Some pinching and classification theorems for minimal submanifolds
• Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures
• Canonical metrics for certain conformally Euclidean spaces of dimension three and codimension one
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