RESULTS RELATED TO PRESCRIBING PSEUDO-HERMITIAN SCALAR CURVATURE
2013 ◽
Vol 24
(03)
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pp. 1350020
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Keyword(s):
In this paper, we consider the problem of prescribing pseudo-Hermitian scalar curvature on a compact strictly pseudoconvex CR manifold M. Using geometric flow, we prove that for any negative smooth function f we can prescribe the pseudo-Hermitian scalar curvature to be f, provided that dim M = 3 and the CR Yamabe invariant of M is negative. On the other hand, we establish some uniqueness and non-uniqueness results on prescribing pseudo-Hermitian scalar curvature.
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1999 ◽
Vol 173
◽
pp. 249-254
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1969 ◽
Vol 27
◽
pp. 6-7
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1980 ◽
Vol 38
◽
pp. 30-33
2005 ◽
Vol 19
(3)
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pp. 129-132
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