Electronic Resource
Springer
Acta applicandae mathematicae
59 (1999), S. 215-227
ISSN:
1572-9036
Keywords:
affine connections
;
curvature
;
Levi-Civita connections
;
Riemann curvature
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Affine connections of 1-forms, rather than vector fields, induce complexes that project to the de Rham complexes of the underlying manifolds. This observation provides short direct proofs of Bianchi identities, existence and uniqueness of Levi-Civita connections, and symmetries of the Riemann curvature tensor.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006341330965
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