A certain property of geodesics of the family of Riemannian manifolds \(O_ n^ 2\). VII
type: Item
instance of: scholarly article
title: A certain property of geodesics of the family of Riemannian manifolds \(O_ n^ 2\). VII
zbMATH Open document ID: 0586.53020
author: Tominosuke Otsuki
published in: Kodai Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: Continuing the investigations from part VI [ibid. 7, 326-364 (1984; Zbl 0557.53026)] the author shows that the main conjecture of this series is true for \(5\leq n\leq 9.7\).
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 3940161
zbMATH Keywords: geodesics
zbMATH Keywords: second-order nonlinear ODE
zbMATH Keywords: period
zbMATH Keywords: interval
Wikidata QID: Q115224625
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037105
OpenAlex ID: W4247674756
cites work: Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
cites work: Q5676049
cites work: Minimal submanifolds of low cohomogeneity
cites work: Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
cites work: On integral inequalities related with a certain nonlinear differential equation
cites work: Q5657351
cites work: Q3215977
cites work: On a bound for periods of solutions of a certain nonlinear differential equation. I
cites work: Q4072143
cites work: Geodesics of \(O^2\) and an analysis on a related Riemann surface
cites work: Q3891366
cites work: A certain property of geodesics of the family of Riemannian manifolds 0//\(n^ 2.\) II
cites work: A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). III
cites work: A certain property of geodesics of the family of Riemannian manifolds O(//\(n^ 2)\). IV
cites work: A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). V
cites work: A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). VI
cites work: Q3681180
cites work: Q3719441
cites work: Q3932030
cites work: Models of the Riemannian manifolds O\(^2_n\) in the Lorentzian 4-space
DOI: 10.2996/KMJ/1138037105
description: scientific article; zbMATH DE number 3940161