Invariants when the transformation is infinitesimal, and their relevance in bio-mathematics and in the theory of terrestrial magnetism

Oliver E. Glenn

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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.