Cosmology in (2+1)- Dimensions, Cyclic Models, and Deformations of M2,1
Cosmology in (2+1)- Dimensions, Cyclic Models, and Deformations of M2,1
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(2 1) 中的宇宙学 - M2,1 的尺寸、循环模型和变形
DOI：
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发表时间：
1989
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通讯作者：
V. Guillemin
中科院分区：
文献类型：
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作者：
V. Guillemin
这项工作的主题是洛伦兹几何的一个此前未被大量研究的领域：是否存在所有类光测地线都是周期的洛伦兹流形？一个令人惊讶的事实是，在（2 + 1）维中这类流形大量存在（尽管在更高维度它们相当罕见）。本书涉及M2,1的变形理论（它提供了几乎所有这些对象的已知例子）。它还有一个章节描述这些对象的共形不变量，最有趣的是由帕内茨和西格尔发明的二维“弗洛凯算子”的行列式。
The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.