ILLUMINATION BODIES AND AFFINE SURFACE-AREA

被引：48

作者：

WERNER, E ^{[1
]}

机构：

[1] UNIV LILLE 1, UFR MATH, F-59655 VILLENEUVE DASCQ, FRANCE

来源：

STUDIA MATHEMATICA | 1994年 / 110卷 / 03期

关键词：

D O I：

10.4064/sm-110-3-257-269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the affine surface area as(partial derivative K) of a convex body K in R(n) can be computed as [GRAPHICS] where d(n) is a constant and K(delta) is the illumination body.

引用

页码：257 / 269

页数：13

共 50 条

[1] ON THE AFFINE SURFACE-AREA
SCHUTT, C
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (04) : 1213 - 1218
[2] EXTENDED AFFINE SURFACE-AREA
LUTWAK, E
ADVANCES IN MATHEMATICS, 1991, 85 (01) : 39 - 68
[3] MIXED AFFINE SURFACE-AREA
LUTWAK, E
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 125 (02) : 351 - 360
[4] RANDOM POLYTOPES AND AFFINE SURFACE-AREA
SCHUTT, C
MATHEMATISCHE NACHRICHTEN, 1994, 170 : 227 - 249
[5] MINKOWSKI SURFACE-AREA UNDER AFFINE TRANSFORMATIONS
CLACK, R
MATHEMATIKA, 1990, 37 (74) : 232 - 238
[6] REMARKS ON THE MONOTONICITY OF THE AFFINE SURFACE-AREA OF OVALOIDS
LEICHTWEISS, K
MATHEMATISCHE NACHRICHTEN, 1990, 147 : 47 - 60
[7] EQUALITY OF 2 REPRESENTATIONS OF EXTENDED AFFINE SURFACE-AREA
DOLZMANN, G
HUG, D
ARCHIV DER MATHEMATIK, 1995, 65 (04) : 352 - 356
[8] Surface bodies and p-affine surface area
Schütt, C
Werner, E
ADVANCES IN MATHEMATICS, 2004, 187 (01) : 98 - 145
[9] Affine surface area and convex bodies of elliptic type
Rolf Schneider
Periodica Mathematica Hungarica, 2014, 69 : 120 - 125
[10] Affine surface area and convex bodies of elliptic type
Schneider, Rolf
PERIODICA MATHEMATICA HUNGARICA, 2014, 69 (02) : 120 - 125

← 1 2 3 4 5 →