Browse > Article
http://dx.doi.org/10.5666/KMJ.2022.62.2.323

Pseudohermitian Curvatures on Bounded Strictly Pseudoconvex Domains in ℂ2  

Seo, Aeryeong (Department of Mathematics, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.62, no.2, 2022 , pp. 323-331 More about this Journal
Abstract
In this paper, we present a formula for pseudohermitian curvatures on bounded strictly pseudoconvex domains in ℂ2 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.
Keywords
Pseudohermitian manifolds; Thullen domains;
Citations & Related Records
연도 인용수 순위
  • Reference
1 C. R. Graham and J. M. Lee, Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains, Duke Math. J., 57(3)(1988), 697-720.   DOI
2 N. Tanaka, On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables, J. Math. Soc. Japan, 14(1962), 397-429.   DOI
3 S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math., 133(1974), 219-271.   DOI
4 J. P. D'Angelo, A note on the Bergman kernel, Duke Math. J., 45(2)(1978), 259-265.   DOI
5 S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differential Geometry, 13(1)(1978), 25-41.   DOI