Would Leibniz lie to you? (Three aspects of the affine connection)
type: Item
instance of: scholarly article
title: Would Leibniz lie to you? (Three aspects of the affine connection)
zbMATH Open document ID: 0596.01038
DOI: 10.1007/BF03025787
author: B. L. Foster
published in: The Mathematical Intelligencer
publication date: 1986-01-01T00:00:00Z
review text: The paper presents a new viewpoint on the second derivative of a scalar function. One can consider it as a second-rank (covariant) tensor when put together with the first derivative as a new object \((d\phi/du,d^ 2\phi/du^ 2)\) or, when defined an affine second derivative with the affine connection -\(\lambda(u)\), \(\delta^ 2\phi/\delta u^ 2=d^ 2\phi /du^ 2-\lambda (u)d\phi/du\); \(du^ 2/(du)^ 2\) can then be considered as a special form of \(-\lambda(u).\)
Mathematics Subject Classification ID: 01A99
zbMATH DE Number: 3959362
zbMATH Keywords: scalar function
zbMATH Keywords: tensor
Wikidata QID: Q122899062
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf03025787
OpenAlex ID: W2141432124
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description: scientific article; zbMATH DE number 3959362