Isoperimetric regions in the plane with density .

A centrally symmetric plane curve has a point called it’s centre of symmetry. We define (following Janeczko) a set which measures the central symmetry of an arbitrary strictly convex plane curve, or surface in $R^{3}$ . We investigate some of it’s properties, and begin the study of non-convex cases.

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David D. Bleecker (1978)

Compositio Mathematica

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Gustavo Corach, Horacio Porta (1987)

Revista Matemática Iberoamericana

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