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2009-06-01 00:11:04
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bci1
| whereas the subcategory ${\bf Mink}$ of four-dimensional Minkowski spaces in $\mathcal{R}_P$ plays the central role in special relativity ($SR$) theories. |
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2009-05-31 23:42:28
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bci1
The category of \PMlinkname{pseudo-Riemannian manifolds}{PseudoRiemannianManifold} $\mathcal{R}_P$ that generalize Minkowski spaces $M_k$ is similarly defined by replacing the Riemanian manifolds $R$ in the above definition with pseudo-Riemannian manifolds $R_P$. Pseudo-Riemannian manifolds $R_P$s were claimed to have applications in Einstein's theory of general relativity ($GR$), whereas the subcategory $\mathcal{Mink} of four-dimensional Minkowski spaces in $\mathcal{R}_P$ plays the central role in special relativity ($SR$ theories.
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2009-05-31 23:23:29
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bci1
| the Riemanian manifolds in the above definition with pseudo-Riemannian |
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