The characterization of totally geodesic submanifolds of \(S^ m\) and \(CP^ m\)

DOI10.1007/BF01098051zbMath0685.53043OpenAlexW2109708069MaRDI QIDQ1826150

Vladimir Yu. Rovenskij

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01098051

zbMATH Keywords

totally geodesicpositive sectional curvatureformcomplete surfacesecond fundamental

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (2)

Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

Cites Work

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• Riemannian submersions from complex projective space
• Jacobi fields, totally geodesic foliations and geodesic differential forms
• Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
• On the type number of hypersurfaces in spaces of constant curvature
• A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality
• Characteristic Classes. (AM-76)
• Totally geodesic foliations

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