Tensor generalizations of affine symmetry vectors

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/rv042t57g

Descriptions

Attribute Name	Values
Creator	Cook, Samuel A. Dray, Tevian
Abstract	A definition is suggested for affine symmetry tensors, which generalize the notion of affine vectors in the same way that (conformal) Killing tensors generalize (conformal) Killing vectors. An identity for these tensors is proven, which gives the second derivative of the tensor in terms of the curvature tensor, generalizing a well-known identity for affine vectors. Additionally, the definition leads to a good definition of homothetic tensors. The inclusion relations between these types of tensors are exhibited. The relationship between affine symmetry tensors and solutions to the equation of geodesic deviation is clarified, again extending known results about Killing tensors. Keywords: Differential geometry, Lie algebras, Vectors, Tensors Keywords: Differential geometry, Lie algebras, Vectors, Tensors
Resource Type	Article
DOI	https://doi.org/10.1063/1.3266423
Date Available	2013-08-19T21:52:32+00:00
Date Issued	2009-12
Citation	Cook, S. A. & Dray, T. (2009). Tensor generalizations of affine symmetry vectors. Journal of Mathematical Physics, 50(12), 122506. doi:10.1063/1.3266423
Journal Title	Journal of Mathematical Physics
Journal Volume	50
Journal Issue/Number	12
Academic Affiliation	Mathematics
Déclaration de droits	Copyright Not Evaluated
Publisher	American Institute of Physics
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/41843