Second order parallel tensor in real and complex space forms
Levy's theorem ‘A second order parallel symmetric non-singular tensor in a real space form is proportional to the metric tensor’ has been generalized by showing that it holds even if one assumes the second order tensor to be parallel (not necessarily symmetric and non-singular) in a real space...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000967 |
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| Summary: | Levy's theorem ‘A second order parallel symmetric non-singular tensor
in a real space form is proportional to the metric tensor’ has been generalized by
showing that it holds even if one assumes the second order tensor to be parallel
(not necessarily symmetric and non-singular) in a real space form of dimension
greater than two. Analogous result has been established for a complex space form. |
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| ISSN: | 0161-1712 1687-0425 |