(Enter summary)
Abstract: We show that every upper semicontinuous and equi-ane invariant valuation
on the space of d-dimensional convex bodies is a linear combination
of ane surface area, volume and the Euler characteristic. (Update)
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BibTeX entry: (Update)
M. Ludwig and M. Reitzner, A characterization of ane surface area, Adv. Math., to appear. http://citeseer.ist.psu.edu/747203.html More
@misc{ ludwig-characterization,
author = "M. Ludwig and M. Reitzner",
title = "A characterization of ane surface area",
text = "M. Ludwig and M. Reitzner, A characterization of ane surface area, Adv.
Math., to appear.",
url = "citeseer.ist.psu.edu/747203.html" }
Citations (may not include all citations):
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25
Introduction to geometric probability (context) - Klain, Rota - 1997
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11
ache und Isoperimetrie (context) - Hadwiger, uber et al. - 1957
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8
Valuations on convex bodies (context) - McMullen, Schneider - 1983
6
Valuations and dissections (context) - McMullen - 1993
6
Ane geometry of convex bodies (context) - Leichtwei - 1998
5
Comparisons of best and random approximation of convex bodie.. (context) - Gruber - 1997
5
New results in the theory of packing and covering (context) - Fejes, oth - 1983
4
A short proof of Hadwiger's characterization theorem (context) - Klain - 1995
3
A characterization of ane length and asymptotic approximatio.. (context) - Ludwig
3
Analytische Eigenschaften konvexer Funktionen auf Riemannsch.. (context) - Bangert - 1979
3
Extended ane surface area (context) - Lutwak - 1991
2
Equality of two representations of extended ane surface area (context) - Dolzmann, Hug - 1995
2
Contributions to ane surface area (context) - Hug - 1996
2
Selected ane isoperimetric inequalities (context) - Lutwak - 1993
2
The Santalo-regions of a convex body (context) - Meyer, Werner - 1998
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Zur Anober ache konvexer Korper (context) - Leichtwei - 1986
2
Geominimal surface area (context) - Petty - 1974
2
Bemerkungen zur De nition einer erweiterten Anober ache von.. (context) - Leichtwei - 1989
2
Almost everywhere existence of the second dierential of a c.. (context) - Aleksandrov - 1939
2
the ane surface area (context) - Sch, On - 1993
1
uber Integralgeometrie (context) - Blaschke - 1937
1
Curvature measures of convex bodies (context) - Schneider - 1978
1
erentialgeometrie II: Ane Dierentialgeometrie (context) - Blaschke - 1923
1
The convex oating body (context) - Sch, Werner - 1990
1
Uber eine Formel Blaschkes zur Anober ache (context) - Leichtwei - 1986
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A general geometric construction for ane surface area (context) - Werner - 1998
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