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HYPERSURFACES OF INFINITE TYPE WITH NULL TANGENTIAL HOLOMORPHIC VECTOR FIELDS

Ninh Van Thu
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회지 (Journal of the KMS)|제54권 제4호|pp. 1163-1173

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참고문헌

키워드

real hypersurfaceholomorphic vector fieldinfinite type point
주제분류수학

초록

In this paper, we introduce the condition $(\mathrm{I})$ (cf. Section \ref{S5}) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in $\mathbb C^2$.

Abstract

In this paper, we introduce the condition $(\mathrm{I})$ (cf. Section \ref{S5}) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in $\mathbb C^2$.

참고문헌 (4)

  1. J. Byun, "The characterization of holomorphic vector fields van-ishing at an infinite type point", J. Math. Anal. Appl, 387(2), pp.667~675 (2012)
  2. R. Greene, "Techniques for studying automorphisms of weakly pseu-doconvex domains", pp.389~410 (1993), Princeton Univ. Press
  3. A. Hayashimoto, "Infinitesimal CR automorphisms and stability groups of infinite type models in C2", Kyoto J. Math, 56(2), pp.441~464 (2016)
  4. K.-T. Kim, "On the tangential holomorphic vector fields vanishing at an infinite type point", Trans. Amer. Math. Soc, 367(2), pp.867~885 (2015)

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