Open Access
Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 5, October 2022
|
|
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Page(s) | 367 - 371 | |
DOI | https://doi.org/10.1051/wujns/2022275367 | |
Published online | 11 November 2022 |
- Grünbaum B. Measures of symmetry for convex sets[C]//Convexity, Proceedings of Symposia in Pure Mathematics 7. Providence : American Math Society, 1963: 233-270. [Google Scholar]
- Brandenberg R, Merino B G. The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant[J].Israel Journal of Mathematics, 2017, 218(1): 489-510. [CrossRef] [MathSciNet] [Google Scholar]
- Guo Q. On p-measures of asymmetry for convex bodies[J]. Adv Geom, 2012, 12(2): 287-301. [CrossRef] [MathSciNet] [Google Scholar]
- Guo Q, Guo J, Su X. The measures of asymmetry for coproducts of convex bodies[J]. Pacific J Math, 2015, 276(2): 401-418. [CrossRef] [MathSciNet] [Google Scholar]
- Jin H L. The log-Minkowski measure of asymmetry for convex bodies [J]. Geom Dedicata, 2018, 196(1): 27-34. [CrossRef] [MathSciNet] [Google Scholar]
- Jin H L. Electrostatic capacity and measure of asymmetry[J]. Proc Amer Math Soc, 2019, 147(9): 4007-4019. [CrossRef] [MathSciNet] [Google Scholar]
- Töth G. Measures of Symmetry for Convex Sets and Stability[M]. Berlin: Springer-Verlag, 2015. [CrossRef] [Google Scholar]
- Besicovitch A S. Measures of asymmetry for convex curves, II. Curves of constant width[J]. J Lond Math Soc, 1951, 26(2): 81-93. [CrossRef] [Google Scholar]
- Groemer H, Wallen L J. A measure of asymmetry for domains of contant width[J]. Beitr Algebre Geom, 2001, 26:517-521. [Google Scholar]
- Guo Q. Convexity theory on spherical spaces[J]. Science in China (Series A), 2020, 50(12):1745-1772. [Google Scholar]
- Jin H L, Guo Q. Asymmetry of convex bodies of constant width[J]. Discrete Comput Geom, 2012, 47(2): 415-423. [CrossRef] [MathSciNet] [Google Scholar]
- Dekster B V. In- and circumcenters of manifolds of constant width[J]. Geom Dedicata, 1991, 38(1): 67-71. [MathSciNet] [Google Scholar]
- Dekster B V. The Jung theorem for spherical and hyperbolic spaces[J]. Acta Math Hungar, 1995, 67(4): 315-331. [CrossRef] [MathSciNet] [Google Scholar]
- Leichtweiss K. Curves of contant width in the non-Euclidean geometry[J]. Abh Math Sem Univ Hamburg, 2005,75(1): 257-284 . [CrossRef] [MathSciNet] [Google Scholar]
- Robinson R M. Note on convex regins on the sphere[J]. Bull Amer Math Soc, 1938, 44: 115-116. [CrossRef] [MathSciNet] [Google Scholar]
- Santaló L. Convex regions on the n-dimensional spherical surface[J]. Annals of Mathematics, 1946, 47(3): 448-459. [CrossRef] [MathSciNet] [Google Scholar]
- Lassak M. Spherical geometry—A survey on width and thickness of convex bodies[C]//Surveys in Geometry I. Berlin: Springer-Verlag, 2022: 7-47. [Google Scholar]
- Jin H L, Guo Q. A note on the extremal bodies of constant width for the Minkowski measure[J]. Geom Dedicata, 2013, 164(1): 227-229. [CrossRef] [MathSciNet] [Google Scholar]
- Chakerian G D, Groemer H. Convex bodies of constant width[C]// Convexity and Its Applications. Basel: Birkhäuser Basel, 1983: 49-96. [Google Scholar]
- Lassak M. Width of spherical convex bodies[J]. Aequat Math, 2015, 89(3): 555-567. [CrossRef] [Google Scholar]
- Lassak M, Musielak M. Spherical bodies of constant width[J]. Aequat Math, 2018, 92(4): 627-640. [CrossRef] [Google Scholar]
- Martini H, Montejano L, Oliveros D. Bodies of Constant Width: An Introduction to Convex Geometry with Applications[M]. Cham: Springer -Verlag, 2019. [CrossRef] [Google Scholar]
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