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The characterization of holomorphic vector fields vanishing at an infinite type point

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Publication:655470
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DOI10.1016/J.JMAA.2011.09.025zbMath1233.32025OpenAlexW2087136960MaRDI QIDQ655470

Jisoo Byun, Minju Song, Jae-Cheon Joo

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.025


zbMATH Keywords

hypersurfaceinfinitesimal automorphisminfinite typeGreene-Krantz conjecture


Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Finite-type conditions on CR manifolds (32V35)


Related Items (3)

On the automorphism group of a certain infinite type domain in \(\mathbb{C}^2\) ⋮ On the tangential holomorphic vector fields vanishing at an infinite type point ⋮ On the CR automorphism group of a certain hypersurface of infinite type in ℂ2




Cites Work

  • Unnamed Item
  • CR manifolds admitting a CR contraction
  • On the boundary point repelling automorphism orbits
  • Holomorphic automorphisms of certain class of domains of infinite type
  • Complex scaling and domains with non-compact automorphism group
  • Several Complex Variables and the Geometry of Real Hypersurfaces




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