Minimal immersions of curvature pinched 2-manifolds into spheres
type: Item
instance of: scholarly article
title: Minimal immersions of curvature pinched 2-manifolds into spheres
zbMATH Open document ID: 0617.53059
author: Takashi Okayasu
published in: Kodai Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: Let (M,g) be a closed connected 2-dimensional Riemannian manifold with curvature K. Assuming that \(K_ 0\leq K\leq K_ 1\), where \(1/10\leq K_ 0<1/6\) and \(K_ 1=K_ 0+(1/18)(1-6K_ 0)(10K_ 0-1),\) the author proves that there do not exist isometric minimal immersions \(\phi\) : \(M\to S^ N(1)\) for any N.
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 4000937
zbMATH Keywords: curvature pinching
zbMATH Keywords: minimal immersions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037367
OpenAlex ID: W2040053461
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Wikidata QID: Q126193988
DOI: 10.2996/KMJ/1138037367
description: scientific article; zbMATH DE number 4000937