Critical Chords of Convex Bodies of Constant Width
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than α ( n -1), K has at least n +1 critical chords, where α ( n ) = n + 2 n ( n + 1 ) n + 2 .
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Published in | Wuhan University journal of natural sciences Vol. 23; no. 6; pp. 461 - 464 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Wuhan
Wuhan University
01.12.2018
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we show that when Minkowski measure of asymmetry of convex body
K
of constant width is bigger than α (
n
-1),
K
has at least
n
+1 critical chords, where
α
(
n
)
=
n
+
2
n
(
n
+
1
)
n
+
2
. |
---|---|
ISSN: | 1007-1202 1993-4998 |
DOI: | 10.1007/s11859-018-1348-4 |