Journal of Lie Theory

no. 1
On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four
Journal of Lie Theory, Volume 31 (2021) no. 1, pp. 169-187
We study the homogeneous structures of pseudo-Riemannian Lie groups of signature (2,2). This study allows us to classify the cyclic Lie groups of the mentioned signature. We also study the cyclic pseudo-Riemannian homogeneous 4-manifolds with non-trivial isotropy.
DOI: 10.5802/jolt.1164
Classification: 53B30, 53C30, 22E25, 22E46
Keywords: Pseudo-Riemannian Lie groups, left-invariant cyclic metrics, homogeneous pseudo-Riemannian structures, non-trivial isotropy 
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     author = {A. Tohidfar and A. Zaeim},
     title = {On {Pseudo-Riemannian} {Cyclic} {Homogeneous} {Manifolds} of {Dimension} {Four}},
     journal = {Journal of Lie Theory},
     pages = {169--187},
     year = {2021},
     volume = {31},
     number = {1},
     doi = {10.5802/jolt.1164},
     zbl = {1464.53073},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1164/}
}
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A. Tohidfar; A. Zaeim. On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four. Journal of Lie Theory, Volume 31 (2021) no. 1, pp. 169-187. doi: 10.5802/jolt.1164

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