Geodesics of \(O^2\) and an analysis on a related Riemann surface

DOI10.2748/tmj/1178240780zbMath0341.34033OpenAlexW2046750090MaRDI QIDQ1231593

Tominosuke Otsuki

Publication date: 1976

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240780

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Ordinary differential equations and systems on manifolds (34C40)

Related Items (10)

A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). VIII ⋮ A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). IX ⋮ A certain property of geodesics of the family of Riemannian manifolds 0//\(n^ 2.\) II ⋮ A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). III ⋮ A certain property of geodesics of the family of Riemannian manifolds O(//\(n^ 2)\). IV ⋮ A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). V ⋮ A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). X ⋮ A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). VI ⋮ A lower bound for areas of the rotational hypersurfaces with 𝐻ₘ=0 in the spheres ⋮ A certain property of geodesics of the family of Riemannian manifolds \(O_ n^ 2\). VII

Cites Work

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• Models of the Riemannian manifolds O\(^2_n\) in the Lorentzian 4-space
• On a bound for periods of solutions of a certain nonlinear differential equation. I
• Minimal submanifolds of low cohomogeneity
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• On integral inequalities related with a certain nonlinear differential equation

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