Parallel transports in webs
نویسندگان
چکیده
منابع مشابه
Parallel Transports in Webs
For connected reductive linear algebraic structure groups it is proven that every web is holonomically isolated. The possible tuples of parallel transports in a web form a Lie subgroup of the corresponding power of the structure group. This Lie subgroup is explicitly calculated and turns out to be independent of the chosen local trivializations. Moreover, explicit necessary and sufficient crite...
متن کامل1 N ov 2 00 7 Links between connections , parallel transports and transports along paths
The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports and transports along paths satisfying some additional conditions are constructed. In particular, the equivalence between the concepts “connection” and “(axiomatically defined) parallel transport” is established. Bozhid...
متن کاملM ar 2 00 8 Links between connections , parallel transports and transports along paths
The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports and transports along paths satisfying some additional conditions are constructed. In particular, the equivalence between the concepts “connection” and “(axiomatically defined) parallel transport” is established. Some r...
متن کاملA pr 2 00 5 Links between connections , parallel transports , and transports along paths in differentiable fibre bundles
The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports, and transports along paths satisfying some additional conditions, are constructed. In particular, the equivalence between the concepts “connection” and “(axiomatically defined) parallel transport” is established. Bozh...
متن کاملParallel Transports in Tensor Spaces Generated by Derivations of Tensor Algebras
The (parallel linear) transports in tensor spaces generated by derivations of the tensor algebra along paths are axiomatically described. Certain their properties are investigated. Transports along paths defined by derivations of the tensor algebra over a differentiable manifold are considered.
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2004
ISSN: 0025-584X,1522-2616
DOI: 10.1002/mana.200310125