Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces

A. Isaev

doi:10.5802/jolt.417

A. Isaev

Journal of Lie Theory, Volume 16 (2006) no. 3, pp. 407-426

Abstract

We introduce analogues of a map due to H. Rossi ["Attaching analytic spaces to an analytic space along a pseudoconcave boundary", in: Proc. Conf. Complex Analysis, Minneapolis 1964, Springer-Verlag 1965, 242--256] and show how they can be used to explicitly determine all covers of certain homogeneous strongly pseudoconvex 3-dimensional hypersurfaces that appear in the classification obtained by E. Cartan in 1932.

arXiv Zbl

DOI: 10.5802/jolt.417

Classification: 53C30, 32V05
Keywords: Homogeneous 3-dimensional CR-manifolds, Rossi's example

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     title = {Analogues of {Rossi's} {Map} and {E.} {Cartan's} {Classification} of {Homogeneous} {Strongly} {Pseudoconvex} {3-Dimensional} {Hypersurfaces}},
     journal = {Journal of Lie Theory},
     pages = {407--426},
     year = {2006},
     volume = {16},
     number = {3},
     doi = {10.5802/jolt.417},
     zbl = {1127.53043},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.417/}
}

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A. Isaev. Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces. Journal of Lie Theory, Volume 16 (2006) no. 3, pp. 407-426. doi: 10.5802/jolt.417

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