Riemannian Geometry as a Field Over Another Geometry
The basic tensors of a Riemannian geometry are found in terms of tensor components by considering the geometry as a field over another arbitrary Riemannian geometry. The approach exhibits symmetries not previously noted. In particular the Riemann tensor of a geometry is found to decompose into a...
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| Language: | en_US |
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Monterey, California. Naval Postgraduate School
2013
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| Online Access: | http://hdl.handle.net/10945/28507 |