riemann manifolds
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Author(s):  
Kevin Fritsch ◽  
Peter Heinzner

AbstractLet X be a CR manifold with transversal, proper CR action of a Lie group G. We show that the quotient X/G is a complex space such that the quotient map is a CR map. Moreover the quotient is universal, i.e. every invariant CR map into a complex manifold factorizes uniquely over a holomorphic map on X/G. We then use this result and complex geometry to prove an embedding theorem for (non-compact) strongly pseudoconvex CR manifolds with transversal $$G \rtimes S^1$$ G ⋊ S 1 -action. The methods of the proof are applied to obtain a projective embedding theorem for compact CR manifolds.


2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Richard C. Brower ◽  
Michael Cheng ◽  
Evan S. Weinberg ◽  
George T. Fleming ◽  
Andrew D. Gasbarro ◽  
...  

2018 ◽  
Vol 46 (3) ◽  
pp. 1542-1596 ◽  
Author(s):  
De-Jun Feng ◽  
Esa Järvenpää ◽  
Maarit Järvenpää ◽  
Ville Suomala

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