Elements of infinitesimal Riemannian geometry
type: Item
instance of: scholarly article
zbMATH Open document ID: 1013.53002
author: Cristian N. Costinescu
publication date: 2002-02-20T00:00:00Z
full work available at URL: https://eudml.org/doc/122676
full work available at URL: 3.html
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 26E35
zbMATH DE Number: 1702487
zbMATH Keywords: limited point
zbMATH Keywords: generalized Frenet formulas
MaRDI profile type: Publication
title: Elements of infinitesimal Riemannian geometry
published in: Balkan Journal of Geometry and its Applications (BJGA)
review text: The nonstandard analysis approach in the paper follows that of \textit{E. Nelson} [Bull. Am. Math. Soc. 83, 1165-1198 (1977; Zbl 0373.02040)] and \textit{M. Goze} [Colloq., Cerisy-la-Salle/Fr. 1990, 402-413 (1992; Zbl 0778.03024)]. The aim of the paper is to compare some punctual and intrinsic geometrical objects defined by a non standard differential geometry on a curve or on a surface. The author extends the Frenet's formulas on a curve in the standard space and shows some difficulties which arise trying to work on standard surfaces.
reviewed by: Marcela Popescu
description: scientific article; zbMATH DE number 1702487