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
E. Calabi, Hypersurfaces with Maximal Affinely Invariant area, Amer. J. Math. 104, 91–126, (1982).
S.Y. Cheng and S.T. Yau, Complete Affine Hypersurfaces, Part 1 The Completeness of Affine Metrics, Comm. Pure and Appl. Math. 39 (1986) 839–866.
S.S. Chern, Affine Minimal Hypersurfaces, Proc. Jap-U.S. Semin. Tokyo 1977, 17–30 (1978).
A. Schwenk and U. Simon, Hypersurfaces with Constant Equiaffine Mean Curvature. Arch. Math. Vol. 46 (1986), 85–90.
Li An-Min, Calabi Conjecture on Hyperbolic Affine Hyperspheres, Math. Z. 203, 483–491 (1990).
Li An-Min, Calabi Conjecture on Hyperbolic Affine Hyperspheres (2), Preprint No. 248/1990, TU Berlin.
A. Martinez and F. Milán, On the Affine Bernstein Problem, Geom. Dedicata 37, No. 3, 295–302 (1991)
K. Nomizu, On completeness in affine differential geometry, Geom. Ded. 20. 43–49 (1986).
R. Schneider, Zur affinen Differentialgeometrie im Großen I Math. Z. 101, 375–406 (1967).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
An-Min, L. (1991). Affine completeness and euclidean completeness. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083635
Download citation
DOI: https://doi.org/10.1007/BFb0083635
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54728-0
Online ISBN: 978-3-540-46445-7
eBook Packages: Springer Book Archive