Stability for the Minkowski measure of convex domains of constant width

Stability for the Minkowski measure of convex domains of constant width

In 1988, H. Groemer gave a stability theorem for the area of convex domains of constant width. In this paper, we obtain a stability theorem for the well-known Minkowski measure of asymmetry for convex domains of constant width.

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Veröffentlicht in:Journal of geometry 2013-12, Vol.104 (3), p.505-513
Hauptverfasser: Jin, HaiLin, Leng, GangSong, Guo, Qi
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
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Zusammenfassung:In 1988, H. Groemer gave a stability theorem for the area of convex domains of constant width. In this paper, we obtain a stability theorem for the well-known Minkowski measure of asymmetry for convex domains of constant width.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-013-0175-1