Cheeger Sets for Rotationally Symmetric Planar Convex Bodies
AbstractIn this note we obtain some properties of the Cheeger set $$C_\varOmega $$ C Ω associated to a k-rotationally symmetric planar convex body $$\varOmega $$ Ω . More precisely, we prove that $$C_\varOmega $$ C Ω is also k-rotationally symmetric and that the boundary of $$C_\varOmega $$ C Ω touches all the edges of $$\varOmega $$ Ω .
2014 ◽
Vol 418
(2)
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pp. 1030-1046
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Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter
2016 ◽
Vol 435
(1)
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pp. 718-734
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1999 ◽
Vol 59
(1)
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pp. 163-168
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2018 ◽
Vol 70
(4)
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pp. 804-823
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Keyword(s):