A simplified elementary proof of Hadwiger's volume theorem

Geometriae Dedicata

Volumn 105, Issue 1, 2004, Pages 107-120

  Chen, Beifang ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Convex body; Dissection; Hadwiger; Invariant; Polytope; Valuation

Indexed keywords

EID: 3843073240     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:GEOM.0000024665.02286.46     Document Type: Article

References (8)

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2. Chen, B. and Rota, G.-C.: Totally invariant set functions of polynomial type, Comm. Pure Appl. Math. 47 (1994), 187-197.
3. Groemer, H.: On the extension of additive functionals on classes of convex sets, Pacific J. Math. 75 (1978), 397-410.
4. Hadwiger, H.: Vorlesungen über Inhalt, Oberfläche und Isoperimetrie, Springer, Berlin, 1957.
5. Klain, D. A.: A short proof of Hadwiger's characterization theorem, Mathematika 42 (1995), 329-339.
6. Klain, D. A. and Rota, G.-C.: Introduction to Geometric Probability, Lezioni Lincee, Cambridge Univ. Press, 1997.
7. Santaló, L. A.: Integral Geometry and Geometric Probability, Addison-Wesley, 1976.
8. Schneider, R.: Convex Bodies: The Brunn-Minkowski Theory, Cambridge Univ. Press, 1993.