Compact homogeneous Leviflat CR-manifolds
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AbstractWe consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification.
1992 ◽
Vol 03
(02)
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pp. 165-177
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1984 ◽
Vol 16
(2)
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pp. 81-121
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1980 ◽
Vol 56
(5)
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pp. 231-234
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1987 ◽
Vol 27
(3)
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pp. 501-505
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2013 ◽
Vol 50
(6)
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pp. 2071-2077
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