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- W2060392810 abstract "C. Fefferman has shown that a real strictly pseudoconvex hypersurface in complex <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-space carries a natural conformal Lorentz metric on a circle bundle over the manifold. This paper presents two intrinsic constructions of the metric, valid on an abstract <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=CR> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mtext>CR</mml:mtext> </mml:mrow> <mml:annotation encoding=application/x-tex>{text {CR}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> manifold. One is in terms of tautologous differential forms on a natural circle bundle; the other is in terms of Webster’s pseudohermitian invariants. These results are applied to compute the connection and curvature forms of the Fefferman metric explicitly." @default.
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- W2060392810 date "1986-01-01" @default.
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- W2060392810 title "The Fefferman metric and pseudo-Hermitian invariants" @default.
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- W2060392810 doi "https://doi.org/10.1090/s0002-9947-1986-0837820-2" @default.
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