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
Tobies, Renate
Lightman, Bernard V.
L. D. Kay
Ausejo Lifante, Elena
Forsdyke, Donald R.
Le, François
Journals
Historia Mathematica
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Studies in History and Philosophy of Science
Rivista di Storia della Scienza
Mathesis: Filosofía e Historia de las Matemáticas
Mathematical Intelligencer
Publishers
University of Chicago Press
Lutterworth Press
American Mathematical Society
Concepts
Mathematics
Geometry
Anglicanism (Christianity)
Science and culture
Projective geometry
Sourcebooks
People
Klein, Felix
Clifford, William Kingdon
Tyndall, John
Lie, Marius Sophus
Huxley, Thomas Henry
Riemann, Georg Friedrich Bernhard
Time Periods
19th century
20th century, early
20th century
Places
Great Britain
France
Institutions
Metaphysical Society
Göttingen. Universität
Humboldt Universität zu Berlin
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