Santaló, Lluís
2009-07-15T11:30:47Z
2009-07-15T11:30:47Z
1967
Santaló, L. (1967). Spaces with two affine connections. Bulletin of the Calcutta Mathematical Society, 59 (1-2), 3-8
0008-0659
http://hdl.handle.net/10256.2/8222
In an n-dimensional space with several affine connections it is possible to define certain tensors analogous to the ordinary curvature tensor. They may be obtained as coefficients of the generalized Ricci identities of the classical Riemannian geometry, as was done by the present author in a previous paper (Santaló, 1954). Recently, following a similar way, Sen (Sen, 1964) has obtained new tensors and new quantities, which he applies to get generalized forms of the equations of the unified field theory of Einstein, as developed by Hlavaty (Hlavaty, 1957). In the present paper we consider especially the case of two connections aT, bT and obtain several tensors (among them those of Sen) and certain properties of these tensors
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Calcutta Mathematical Society
Bulletin of the Calcutta Mathematical Society, 1967, vol. 59, núm. 1-2, p. 3-8
Articles publicats
Tots els drets reservats
Càlcul de tensors
Espais generalitzats
Connexions (Matemàtica)
Riemann, Geometria de
Connections (Mathematics)
Geometry, Riemannian
Generalized spaces
Tensor
Spaces with two affine connections
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