Pseudohermitian Curvatures on Bounded Strictly Pseudoconvex Domains in C 2
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In this paper, we present a formula for pseudohermitian curvatures on bounded strictly pseudoconvex domains in C 2 with respect to the coefficients of adapted frames given by Graham and Lee in [3] and their structure equations. As an application, we will show that the pseudohermitian curvatures on strictly plurisubharmonic exhaustions of Thullen domains diverges when the points converge to a weakly pseudoconvex boundary point of the domain.
Abstract
In this paper, we present a formula for pseudohermitian curvatures on bounded strictly pseudoconvex domains in C 2 with respect to the coefficients of adapted frames given by Graham and Lee in [3] and their structure equations. As an application, we will show that the pseudohermitian curvatures on strictly plurisubharmonic exhaustions of Thullen domains diverges when the points converge to a weakly pseudoconvex boundary point of the domain.
참고문헌 (5)
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- C. R. Graham, "Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains", Duke Math. J, 57(3), pp.697~720 (1988)
- N. Tanaka, "On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables", J. Math. Soc. Japan, 14, pp.397~429 (1962)
- S. M. Webster, "Pseudo-Hermitian structures on a real hypersurface", J. Differential Geometry, 13(1), pp.25~41 (1978)