The characterization of totally geodesic submanifolds of \(S^ m\) and \(CP^ m\)
type: Item
instance of: scholarly article
title: The characterization of totally geodesic submanifolds of \(S^ m\) and \(CP^ m\)
zbMATH Open document ID: 0685.53043
DOI: 10.1007/BF01098051
author: Vladimir Yu. Rovenskij
published in: Journal of Soviet Mathematics
publication date: 1985-01-01T00:00:00Z
review text: See the review in Zbl 0576.53034.
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4122790
zbMATH Keywords: complete surface
zbMATH Keywords: positive sectional curvature
zbMATH Keywords: second fundamental
zbMATH Keywords: form
zbMATH Keywords: totally geodesic
MaRDI profile type: Publication
cites work: A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality
cites work: On the type number of hypersurfaces in spaces of constant curvature
cites work: Totally geodesic foliations
cites work: Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
cites work: Q3935098
cites work: Jacobi fields, totally geodesic foliations and geodesic differential forms
cites work: Riemannian submersions from complex projective space
cites work: Characteristic Classes. (AM-76)
cites work: Q3927843
full work available at URL: https://doi.org/10.1007/bf01098051
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description: scientific article; zbMATH DE number 4122790