HERMITIAN SURFACES OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE II

Article Sidebar

PDF
Published: Jun 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4536
Keywords:
Hermitian surface constant holomorphic sectional curvature complex projective surface

Main Article Content

TAKUJI SATO
Faculty of Technology, Kanazawa University, Kanazawa 920, Japan.
KOUEI SEKIGAWA
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, Japan.

Abstract




The present paper ss a continuation of our previous work [7]. We shall prove that a compact Hernutian surface of pointwise positive constant holomorphic sectional curvature is biholomorphica.lly equivalent to a complex projective surface.




Article Details

How to Cite
SATO, T., & SEKIGAWA, K. (1992). HERMITIAN SURFACES OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE II. Tamkang Journal of Mathematics, 23(2), 137–143. https://doi.org/10.5556/j.tkjm.23.1992.4536
Issue
Vol. 23 No. 2 (1992)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

Balas, A., "Compact Hermitian manifolds of constant holomorphic sectional curvature" Math. Z. 189, 193-210, (1985).

Balas, A. and Gauduchon, P., "Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kahler" Math. Z. 190, 39-43, (1985).

Baslas, A., "On the sum of the Hermitian scalar curvatures of a compact Hermitian manifold", Math. Z. 195, 429-432, (1987).

Bombieri, E. and Husemoller, D., "Classification and embeddings of surfaces", Proc. Symp. Pure Math. 29, 329-420, (1975).

Kodaira, K., "On the structure of compact analytic surfaces I II III IV", Amer. J. Math. 86, 88, 90, 751-798, 682-721, 55-83, 1048-1066, (1964; 1966; 1968).

Miyaoka, Y., "On the Chern numbers of surfaces of general type", Invent. Math. 42 225-237, (1977).

Sato, T. and Sekigawa, K., "Hermitian surfaces of constant holomorphic sectional curva­ture", Math. Z. 205, 659-668, (1990).

Sekigawa, K., "On some 4 dimensional compact almost Hermitian manifolds", J. Ramanujan Math. Soc. 2, 101-116, (1987).

Tricerri, F. and Vaisman, I., "On some 2-dimensional Hermitian manifolds", Math. Z. 192, 205-216, (1986).

Vaisman, I., "Some curvature properties of complex surfaces" Ann. Mat. Pura Appl. 32, 1-18, (1982).

Wu, W . T ., "Sur les classes caractenstiques des structures :fibrees spheriques", Actual. Sci. Ind. 1183, 1-89, (1952).