Starting with the publication of Riemann's Gesammelte Mathematische Werke in 1876, the Commentatio Mathematica has attracted considerable interest among mathematicians and historians. Nonetheless, there appears to be no consensus on the most appropriate approach to the interpretation of the paper, namely on its relationship with Riemann's Habilitationsvortrag. This article represents a contribution to such an interesting debate. Special attention is paid to the pars secunda of Riemann's Commentatio. In particular, the focus is on the interpretation of a certain trinomial expression from which Riemann claimed that an understanding of his "curvature tensor" could be achieved.

Riemann's commentatio mathematica, a reassessment / A. Cogliati. - In: REVUE D'HISTOIRE DES MATHEMATIQUES. - ISSN 1262-022X. - 20:1(2014 Jul), pp. 73-94.

Riemann's commentatio mathematica, a reassessment

A. Cogliati
2014

Abstract

Starting with the publication of Riemann's Gesammelte Mathematische Werke in 1876, the Commentatio Mathematica has attracted considerable interest among mathematicians and historians. Nonetheless, there appears to be no consensus on the most appropriate approach to the interpretation of the paper, namely on its relationship with Riemann's Habilitationsvortrag. This article represents a contribution to such an interesting debate. Special attention is paid to the pars secunda of Riemann's Commentatio. In particular, the focus is on the interpretation of a certain trinomial expression from which Riemann claimed that an understanding of his "curvature tensor" could be achieved.
No
English
Curvature tensor; Metric geometry; Riemann; Tensor calculus
Settore MAT/04 - Matematiche Complementari
Articolo
Esperti anonimi
Ricerca di base
Pubblicazione scientifica
lug-2014
Société mathématique de France
20
1
73
94
22
Pubblicato
Periodico con rilevanza internazionale
NON aderisco
info:eu-repo/semantics/article
Riemann's commentatio mathematica, a reassessment / A. Cogliati. - In: REVUE D'HISTOIRE DES MATHEMATIQUES. - ISSN 1262-022X. - 20:1(2014 Jul), pp. 73-94.
none
Prodotti della ricerca::01 - Articolo su periodico
1
262
Article (author)
no
A. Cogliati
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/245900
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 3
  • OpenAlex ND
social impact