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A characterization of affine hyperquadrics

✍ Scribed by Giorgio Patrizio; Adriano Tomassini


Publisher
Springer
Year
2005
Tongue
English
Weight
251 KB
Volume
184
Category
Article
ISSN
0373-3114

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✦ Synopsis


In this paper, using the existence of special exhaustions that satisfy the complex homogeneous Monge-Ampère equation and curvature properties are given characterizations of the affine hyperquadric and other special Stein manifolds.


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A Characterization of Affine Surface Are
✍ Monika Ludwig; Matthias Reitzner πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 239 KB

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume, and the Euler characteristic.