On submanifolds with negative curvature in Euclidean space
type: Item
instance of: scholarly article
title: On submanifolds with negative curvature in Euclidean space
zbMATH Open document ID: 1258.53005
published in: Results in Mathematics
publication date: 2012-11-09T00:00:00Z
review text: From the abstract and the introduction: In this paper we give a survey of results of different authors, among them Tenenblat's, on the behavior of submanifolds with negative curvature. The following topics are considered, each more or less connected with the question of existence of submanifolds with negative curvature bounded away from zero: (a) Some constructions of submanifolds with negative curvature. (b) On the regularity of the image of a Bäcklund transformation. (c) On the Grassmannian image of an immersion. (d) The expression for the volume of an asymptotic parallelepiped.
reviewed by: Friedrich Manhart
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 6104268
zbMATH Keywords: negative curvature
zbMATH Keywords: regularity
zbMATH Keywords: volume
zbMATH Keywords: asymptotic coordinates
zbMATH Keywords: Lobachevsky space
zbMATH Keywords: isometric immersion
author: Yu. A. Aminov
MaRDI profile type: Publication
full work available at URL: s00025-011-0158-1
OpenAlex ID: W2060889152
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DOI: 10.1007/S00025-011-0158-1
description: scientific article; zbMATH DE number 6104268