Levi’s Problem for Pseudoconvex Homogeneous Manifolds

Gilligan, Bruce

doi:10.4153/cmb-2017-007-x

Can. math. bull.

2017

DOI: 10.4153/cmb-2017-007-x

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Levi’s Problem for Pseudoconvex Homogeneous Manifolds

Bruce Gilligan¹

Abstract: Abstract. Suppose G is a connected complex Lie group and H is a closed complex subgroup.en there exists a closed complex subgroup J of G containing H such

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2021

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Compact homogeneous Leviflat CR-manifolds

Al-Abdallah

Gilligan

2021

Complex Anal Synerg

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We 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.

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Compact homogeneous Leviflat CR-manifolds

Al-Abdallah

Gilligan

2021

Complex Anal Synerg

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show abstract

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Levi’s Problem for Pseudoconvex Homogeneous Manifolds

Abstract: Abstract. Suppose G is a connected complex Lie group and H is a closed complex subgroup.en there exists a closed complex subgroup J of G containing H such

Cited by 1 publication

References 26 publications

Compact homogeneous Leviflat CR-manifolds

Compact homogeneous Leviflat CR-manifolds

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