A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality
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Publication:2555330
DOI10.2748/tmj/1178242642zbMath0245.53053OpenAlexW2014665753MaRDI QIDQ2555330
Publication date: 1971
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178242642
Related Items (14)
Indefinite Kähler submanifolds with positive index of relative nullity ⋮ Codimension One Isometric Immersions Between Lorentz Spaces ⋮ Immersions of non-zero relative nullity in manifolds of constant positive curvature ⋮ Some remarks on a class of submanifolds in space forms of non-negative curvature ⋮ On the \(k\)-th nullity space of the Riemannian curvature tensor ⋮ Differential geometry of Kaehler submanifolds ⋮ On some 3-dimensional complete Riemannian manifolds satisfying \((X,Y)\cdot R=0\) ⋮ Some system of differential equations on Riemannian manifolds and its applications to contact structures ⋮ Weakly ample Kähler manifolds and Euler number ⋮ On a generalization of the Hopf fibration. II: Complex structures on the products of generalized Brieskorn manifolds ⋮ Jacobi fields, totally geodesic foliations and geodesic differential forms ⋮ The characterization of totally geodesic submanifolds of \(S^ m\) and \(CP^ m\) ⋮ Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions ⋮ On a certain class of complex Einstein hypersurfaces in indefinite complex space forms
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