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Affine maximal surfaces and harmonic functions

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Differential Geometry and Topology

Part of the book series: Lecture Notes in Mathematics ((2803,volume 1369))

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References

  1. Calabi, E., Improper Affine Hyperspheres of Convex Type and Generalization of a Theorem by K. Jorgens. Michigan Math. J. 5 105–126 (1958).

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  2. Chern, S.S., Affine Minimal Hypersurfaces. Proc. of the Japan-United States Seminar on Minimal Submanifold and Geodesics, 17–30 (1977).

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  3. Simon, U., Hypersurfaces in Equiaffine Differential Geometry. Geom. Dedicata. 17, 157–168 (1984).

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  4. Terng, Chuu-Lian, Affine Minimal Surfaces. Seminar on Minimal Submanifolds. Annals of Mathematics Studies 103, Princeton University Press, 1983.

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  5. Blaschke, W., Vorlesungen Uber Differential geometric II, Berlin 1923.

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  6. Osserman, R., A Survey of Minimal Surfaces, Van Nostrand, 1969.

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  7. Calabi, E., Hypersurfaces with maximal affinely invariant area. Amer. J. Math. 104, 91–126 (1982).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, China

    An-Min Li

Authors
  1. An-Min Li
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Boju Jiang Chia-Kuei Peng Zixin Hou

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© 1989 Springer-Verlag

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Li, AM. (1989). Affine maximal surfaces and harmonic functions. In: Jiang, B., Peng, CK., Hou, Z. (eds) Differential Geometry and Topology. Lecture Notes in Mathematics, vol 1369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087530

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  • DOI: https://doi.org/10.1007/BFb0087530

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51037-6

  • Online ISBN: 978-3-540-46137-1

  • eBook Packages: Springer Book Archive

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