On the role of virtual work in Levi-Civita's parallel transport

被引：1

作者：

Iurato, Giuseppe ^{[1
]}

Ruta, Giuseppe ^{[2
]}

机构：

[1] Univ Palermo, Palermo, Italy

[2] Sapienza Univ, Rome, Italy

来源：

ARCHIVE FOR HISTORY OF EXACT SCIENCES | 2016年 / 70卷 / 05期

关键词：

Riemannian Manifold; Virtual Work; Direction Cosine; Parallel Transport; Virtual Displacement;

D O I：

10.1007/s00407-016-0177-0

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

The current literature on history of science reports that Levi-Civita's parallel transport was motivated by his attempt to provide the covariant derivative of the absolute differential calculus with a geometrical interpretation (For instance, see Scholz in The intersection of history and mathematics, Birkhauser, Basel, pp 203-230, 1994, Sect. 4). Levi-Civita's memoir on the subject was explicitly aimed at simplifying the geometrical computation of the curvature of a Riemannian manifold. In the present paper, we wish to point out the possible role implicitly played by the principle of virtual work in Levi-Civita's conceptual reasoning to formulate parallel transport.

引用

页码：553 / 565

页数：13

共 42 条

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