Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2017; 54(4): 1163-1173

Online first article May 24, 2017      Printed July 1, 2017

https://doi.org/10.4134/JKMS.j160413

Copyright © The Korean Mathematical Society.

Hypersurfaces of infinite type with null tangential holomorphic vector fields

Ninh Van Thu

Vietnam National University at Hanoi

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 $\mathbb C^2$.

Keywords: holomorphic vector field, real hypersurface, infinite type point

MSC numbers: Primary 32M05; Secondary 32H02, 32H50, 32T25