[1] Busemann H. A theorem on convex bodies of the Brunn-Minkowski type. Proc Nat Acad Sci, 1949, 35: 27--31
[2] Gardner R J. A positive answer to Busemann-Petty problem in three dimensions. Ann of Math, 1994, 140: 435--447
[3] Gardner R J. Geometric Tomography. New York: Cambridge University Press, 1995
[4] Gardner R J. Intersection bodies and the Busemann-Petty problem. Trans Amer Math Soc, 1994, 342: 435--445
[5] Gardner R J, et al. An analytic solution to the Busemann-Petty problem on sections of convex bodies. Ann of Math, 1999, 149: 691--703
[6] Koldobsky A. Intersection bodies and the Busemann-Petty problem. C R Acad Sci Paris Sér I Math, 1997, 325: 1181--1186
[7] Koldobsky A. Intersection bodies, positive definite distributions, and the Busemann-Petty problem. Amer J Math, 1998, 120: 827--840
[8] Leichtweiβ K. Affine Geometry of Convex Bodies. Heidelberg: J A Barth, 1998
[9] Lutwak E. Intersection bodies and dual mixed volumes. Adv in Math, 1988, 71: 232--261
[10] Lutwak E. The Brunn-Minkowski-Firy theory II: affine and geominimal surface areas. Adv Math, 1996, 118: 244--294
[11] Moszynska M. Quotient Star Bodies, Intersection Bodies and Star Duality. J Math Anal Appl, 1999, 232: 45--60
[12] Schneider R. Convex Bodies: The Brunn-Minkowski Theory. Cambridge: Cambridge University Press, 1993
[13] Yuan S, Leng G. Inequality for mixed intersection bodies. Chinese Ann of Math, Series B, 2005, 26(3): 423--436 (Chinese)
[14] Zhang G. A positive solution to the Busemann-Petty problem in R4. Ann of Math, 1999, {\bf 149}: 535--543
[15] Zhang G. Centered bodies and dual mixed volumes. Tran Amer Math, 1994, 345: 777--801 |