Lorentzian similarity manifolds |
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Authors: | Yoshinobu Kamishima |
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Institution: | 1.Department of Mathematics,Tokyo Metropolitan University,Hachioji, Tokyo,Japan |
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Abstract: | An (m+2)-dimensional Lorentzian similarity manifold M is an affine flat manifold locally modeled on (G,ℝ m+2), where G = ℝ m+2 ⋊ (O(m+1, 1)×ℝ+). M is also a conformally flat Lorentzian manifold because G is isomorphic to the stabilizer of the Lorentzian group PO(m+2, 2) of the Lorentz model S m+1,1. We discuss the properties of compact Lorentzian similarity manifolds using developing maps and holonomy representations. |
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