Abstract
These notes were written by Camilla Horst on the basis of the lectures I gave during the week of June 22–26, 1981 at the DMV Seminar on Complex Differential Geometry in Düsseldorf. My aim was to make the contents of my survey lecture at the DMV annual meeting in 1980 (published in Jahresberichte, 1981) accessible to beginning research students by providing a little more details. I suggest therefore that the Jahresberichte paper be read as an introduction to these notes.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Kobayashi: Recent results in complex differential geometry, J.ber.d.dt.Math.-Verein. 83 (1981), 147–158.
T. Aubin: Equations du type Monge-Ampère sur les variétés kählerienne compactes, C.R. Acad. Sci. Paris, 283 (1976), 119–121
M. Berger: Sur les groupes d’holonomie homogène des variétés A connexion affine et des variétés riemanniennes, Bull. Soc. math. France 83 (1955), 279–330
B.Y. Chen, K. Ogiue: Some characterizations of complex space forms in terms of Chern classes, Quart. J. Math. Oxford Ser. 3, 26 (1975), 459–464
Ph. Griffiths, J. Harris: Principles of Algebraic Geometry, Wiley, New York 1978
R. Gunning: On uniformization of complex manifolds: the role of connections. Math. Notes No. 22, Princeton Univ. Press 1978
F. Hirzebruch: Automorphe Formen und der Satz von Riemann-Roch, Symp. Int. Top. Alg. 1956, 129–144, Univ. de Mexico, 1958
M. Inoue: On surfaces of class VIIo, Invent. Math. 24 (1974), 269–310
M. Inoue, S. Kobayashi, T. Ochiai: Holomorphic affine connections on compact complex surfaces, J. Fac. Sci. Univ. Tokyo 27 (1980), 247–264
S. Kobayashi, K. Nomizu: Foundations of Differential geometry I, II, Interscience Tracts, Wiley, New York 1969
S. Kobayashi, T. Ochiai: Holomorphic projective structures on compact complex surfaces, Math. Ann. 249 (1980), 75–94
S. Kobayashi, T. Ochiai: Holomorphic projective structures on compact complex surfaces II, Math. Ann.
S. Kobayashi, T. Ochiai: Holomorphic structures modeled after hyperquadrics, to appear in Tohoku Math. J.
S. Kobayashi, T. Ochiai: Holomorphic structures modeled after compact hermitian symmetric spaces, to appear
S. Kobayashi: The first Chern class and holomorphic symmetric tensor fields, J. Math. Soc. Japan 32 (1980), 325–329
S. Kobayashi: First Chern class and holomorphic tensor fields, Nagoya Math. J. 77 (1980), 5–11
A. Lascoux, M. Berger: Variétés kähleriennes compactes, Lecture Notes in Mathematics 154, Springer-Verlag, BerlinHeidelberg-New York 1970
R. Wells: Differential Analysis on Complex Manifolds, Prentice Hall, Englewood Cliffs N.J., 1973
H. Weyl: The Classical Groups, Princeton Univ. Press 1949
K. Yano, S. Bochner: Curvature and Betti Numbers, Ann. of Math. Studies 32, Princeton Univ. Press 1953
S.T. Yau: Calabi’s conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. USA 74 (1977), 1798–1799
S.T. Yau: On the Ricci curvature of compact Kähler manifolds and the complex Monge-Ampère equation I, Comm. Pure Appl. Math. 31 (1978), 339–411
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer Basel AG
About this chapter
Cite this chapter
Kobayashi, S., Horst, C. (1983). Topics in Complex Differential Geometry. In: Complex Differential Geometry. DMV Seminar, vol 3. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6566-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-0348-6566-1_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1494-1
Online ISBN: 978-3-0348-6566-1
eBook Packages: Springer Book Archive