Nagoya Mathematical Journal

On the geometry of affine Kähler immersions

Katsumi Nomizu, Ulrich Pinkall, and Fabio Podestà

Full-text: Open access

Article information

Source
Nagoya Math. J., Volume 120 (1990), 205-222.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1118782206

Mathematical Reviews number (MathSciNet)
MR1086578

Zentralblatt MATH identifier
0701.53038

Subjects
Primary: 53C42: Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42]
Secondary: 53C55: Hermitian and Kählerian manifolds [See also 32Cxx]

Citation

Nomizu, Katsumi; Pinkall, Ulrich; Podestà, Fabio. On the geometry of affine Kähler immersions. Nagoya Math. J. 120 (1990), 205--222. https://projecteuclid.org/euclid.nmj/1118782206


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References

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  • [K-N] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, vol I, II John John Wiley, New York, 1963, 1969.
  • [N-Pi] K. Nomizu and U. Pinkall, On the geometry of affine immersions, Math. Z., 195 (1987), 165-178.
  • [N-Pi] K. Nomizu and U. Pinkall, Cubic form theorem for affine immersions, Results in Math., 13 (1988), 338-362.
  • [N-Po] K. Nomizu and F. Podesta On affine Kahler structures, Bull. Soc. Math. Belg. 41 (1989) Ser. B, 275-281.
  • [N-S] K. Nomizu and B. Smyth, Differential geometry for complex hypersurfaces II, J. Math. Soc. Japan, 20 (1968), 498-521. Katsumi Nomizu DepartmentofMathematics BrownUniversity Providence, RI 02912 U.S.A. Ulrich Pinkall TechnischeUniversit'tBerlin Strasse des 17. Juni 136 D-1000 Berlin 12 F.R.G. Fabio Podesta c/o Scuola NormaleSuperiore Piazza Cavalieri 7 1-56100 Pisa Italy