Article ID: CBB001553275

Variations on a Theme: Clifford's Parallelism in Elliptic Space (2015)

unapi

In 1873, W. K. Clifford introduced a notion of parallelism in the three-dimensional elliptic space that, quite surprisingly, exhibits almost all properties of Euclidean parallelism in ordinary space. The purpose of this paper is to describe the genesis of this notion in Clifford's works and to provide a historical analysis of its reception in the investigations of F. Klein, L. Bianchi, G. Fubini, and E. Bortolotti. Special emphasis is placed upon the important role that Clifford's parallelism played in the development of the theory of connections.

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Authors & Contributors
Lightman, Bernard V.
Tobies, Renate
Chisholm, Monty
Clifford, William Kingdon
Dawson, Gowan
Farwell, Ruth
Journals
Historia Mathematica
Studies in History and Philosophy of Science
Bibliothek und Wissenschaft
Circumscribere: International Journal for the History of Science
Endeavour: Review of the Progress of Science
Great Ideas Today
Publishers
American Mathematical Society
Lutterworth Press
Springer
University of Chicago Press
Springer International Publishing
Concepts
Mathematics
Mathematics education
Geometry
Popularization
Biographies
Evolution
People
Clifford, William Kingdon
Klein, Felix
Clifford, Lucy Lane
Huxley, Thomas Henry
Tyndall, John
Beltrami, Eugenio
Time Periods
19th century
20th century, early
20th century
Places
Great Britain
Germany
Institutions
Göttingen. Universität
Metaphysical Society
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