Remarks on a translative formula for sets of positive reach

被引：4

作者：

Rataj, J ^{[1
]}

机构：

[1] CHARLES UNIV,MATEMAT USTAV,PRAGUE 18600 8,CZECH REPUBLIC

来源：

GEOMETRIAE DEDICATA | 1997年 / 65卷 / 01期

关键词：

principal kinematic formula; translative integral geometry; set of positive reach; differentiable extension; fractal set;

D O I：

10.1023/A:1004912401199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An example of a pair of sets of positive reach is presented, violating a condition assuring the intersection of these sets to have positive reach for almost all translations of one of these sets. The same condition ensures the validity of a translative formula proved recently in Geom. Dedicata 57 (1995), 259-283.

引用

页码：59 / 62

页数：4

共 50 条

[1] Remarks on a Translative Formula for Sets of Positive Reach
Jan Rataj
Geometriae Dedicata, 1997, 65 : 59 - 62
[2] MIXED CURVATURE MEASURES FOR SETS OF POSITIVE REACH AND A TRANSLATIVE INTEGRAL FORMULA
RATAJ, J
ZAHLE, M
GEOMETRIAE DEDICATA, 1995, 57 (03) : 259 - 283
[3] SETS WITH POSITIVE REACH
BANGERT, V
ARCHIV DER MATHEMATIK, 1982, 38 (01) : 54 - 57
[4] Nonosculating sets of positive reach
Zähle, M
GEOMETRIAE DEDICATA, 1999, 76 (02) : 183 - 187
[5] On the structure of sets with positive reach
Rataj, Jan
Zajicek, Ludek
MATHEMATISCHE NACHRICHTEN, 2017, 290 (11-12) : 1806 - 1829
[6] Nonosculating Sets of Positive Reach
M. Zähle
Geometriae Dedicata, 1999, 76 : 183 - 187
[7] TRANSLATIVE DECOMPOSITION OF CONVEX SETS
GROEMER, H
ARCHIV DER MATHEMATIK, 1968, 19 (04) : 445 - &
[8] A LOCAL FORMULA OF TRANSLATIVE INTEGRAL GEOMETRY
SCHNEIDER, R
ARCHIV DER MATHEMATIK, 1981, 36 (05) : 466 - 469
[9] A translative integral formula for absolute curvature measures
Rataj, J
GEOMETRIAE DEDICATA, 2001, 84 (1-3) : 245 - 252
[10] Metric Entropy of Classes of Sets with Positive Reach
Cockreham, James
Gao, Fuchang
CONSTRUCTIVE APPROXIMATION, 2018, 47 (02) : 357 - 371

← 1 2 3 4 5 →