Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-05-17T13:16:58.912Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonexistence of real analytic Levi flat hypersurfaces in ℙ2

Published online by Cambridge University Press:  22 January 2016

Takeo Ohsawa
Takeo Ohsawa*
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A real hypersurface M in a complex manifold X is said to be Levi flat if it separates X locally into two Stein pieces. It is proved that there exist no real analytic Levi flat hypersurfaces in ℙ2.

Keywords

32V40
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 158 , December 2000 , pp. 95 - 98
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

References

[C] Cerveau, D., Minimaux des feuilletages algébriques de CP(n), Ann. Inst. Fourier, 43 (1993), 1535–1543.CrossRefGoogle Scholar
[I] Ivashkovitch, S., The Hartogs-type extension theorem for meromorphic maps into compact Kahler manifolds, Invent. math., 109 (1992), 47–54.Google Scholar
[O] Ohsawa, T., Pseudoconvex domains in P n: a question on the 1-convex boundary points , to appear in the proceedings of Taniguchi sypm.Google Scholar
[O-S] Ohsawa, T., and Sibony, N., Käahler identity on Levi flat manifolds and application to the embedding, Nagoya Math. J., 158 (2000), 87–93.Google Scholar
[T] Takeuchi, A., Domains pseudoconvexes infinits et la metrique riemannienne dans us espace projectif J. Math. Soc. Japan, 16 (1964), 159–181.Google Scholar