A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). IX
type: Item
instance of: scholarly article
title: A certain property of geodesics of the family of Riemannian manifolds \(O^ 2_ n\). IX
zbMATH Open document ID: 0647.53037
author: Tominosuke Otsuki
published in: Kodai Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: This is a continuation of Part VIII [ibid. 9, 272-307 (1986; Zbl 0601.53041)] with the same title written by the present author which proved that the so-called conjecture C is true for 4.5\(\leq n\leq 5\). The method of proof given then for \(3\leq n\leq 5\) was not so effective, when n comes near 3 and we know that this method still does not work well for the proof of conjecture C for \(2\leq n\leq 3\) by Lemma 8.1 of Part III [ibid. 4, 28-70 (1981; Zbl 0469.53040)]. In the present paper we shall show that this conjecture is also true for 2.4\(\leq n\leq 4.5\) by a new method of proof.
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 4056480
Wikidata QID: Q115224596
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138038823
OpenAlex ID: W2615501902
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DOI: 10.2996/KMJ/1138038823
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description: scientific article; zbMATH DE number 4056480