Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Pseudohermitian Curvatures on Bounded Strictly Pseudoconvex Domains in ℂ2

  • Seo, Aeryeong (Department of Mathematics, Kyungpook National University)
  • Received : 2022.02.25
  • Accepted : 2022.06.17
  • Published : 2022.06.30
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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.

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Acknowledgement

This research was supported by Kyungpook National University Research Fund, 2019.

References

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