Displaying similar documents to “On the genesis of the concept of covariant differentiation”

Algebraic classification of the Weyl tensor: selected applications

Pravda, Vojtěch

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Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity.

Algebraic Geometry between Noether and Noether — a forgotten chapter in the history of Algebraic Geometry

Jeremy Gray (1997)

Revue d'histoire des mathématiques

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Mathematicians and historians generally regard the modern period in algebraic geometry as starting with the work of Kronecker and Hilbert. But the relevant papers by Hilbert are often regarded as reformulating invariant theory, a much more algebraic topic, while Kronecker has been presented as the doctrinaire exponent of finite, arithmetical mathematics. Attention is then focused on the Italian tradition, leaving the path to Emmy Noether obscure and forgotten.There was, however, a steady...

The Riemann curvature through history.

Antonio Martínez Naveira (2005)

RACSAM

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El concepto de curvatura es muy familiar en la Geometría Diferencial. En este artículo se procura mostrar tanto la evolución de su concepto a lo largo de la historia como alguna de sus aplicaciones. En esta exposición existe una limitación tanto en la presenatción de algunos tópicos como en la ausencia de otros que son básicos en la Geometría de Riemann. Entre éstos últimos cabría destacar, entre otros, las variedades minimales y las kählerianas o la teoría de Morse. Aunque de manera...

At the Origins of Functional Analysis: G. Peano and M. Gramegna on Ordinary Differential Equations

Erika Luciano (2006)

Revue d'histoire des mathématiques

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In the context of the theory of infinite matrices and linear operators, two articles by Peano and by Gramegna on systems of linear differential equations have interesting implications for the reconstruction of research on functional analysis between 1887 and 1910. With the aim of evaluating their historical value, linked to logic and vector calculus, this paper provides a detailed analysis of their treatment, demonstrating the modernity of the analytic tools used. In this paper we also...