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On the geometry of affine Kähler immersions

Published online by Cambridge University Press:  22 January 2016

Katsumi Nomizu ,
Ulrich Pinkall  and
Fabio Podestà
Katsumi Nomizu
Affiliation:
Department of Mathematics, Brown University, Providence, RI 02912, U.S.A.
Ulrich Pinkall
Affiliation:
Technische Universität Berlin, Strasse des 17. Juni 136, D-1000, Berlin, 12 F.R.G.
Fabio Podestà
Affiliation:
c/o Scuola Normale Superiore, Piazza Cavalieri 7 1-56100 Pisa, Italy
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In this paper we extend the work on affine immersions [N-Pi]-1 to the case of affine immersions between complex manifolds and lay the foundation for the geometry of affine Kähler immersions. The notion of affine Kähler immersion extends that of a holomorphic and isometric immersion between Kähler manifolds and can be contrasted to the notion of holomorphic affine immersion which has been established in the work of Dillen, Vrancken and Verstraelen [D-V-V] and that of Abe [A].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 120 , December 1990 , pp. 205 - 222
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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[N-Pi]-1 Nomizu, K. and Pinkall, U., On the geometry of affine immersions, Math. Z., 195 (1987), 165–178.CrossRefGoogle Scholar
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