Isoperimetric inequalities for special classes of curves |
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Authors: | Bernd Süssmann |
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Institution: | Wendelstr. 4, 74336 Brackenheim, Germany |
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Abstract: | In this paper the classical Banchoff-Pohl inequality, an isoperimetric inequality for nonsimple closed curves in the Euclidean plane, involving the square of the winding number, is sharpened for homothetic or Abresch-Langer solutions of curve shortening. For a larger class of curves and for rotationally symmetric curves, further isoperimetric inequalities containing the rotation number and the winding number, are presented. |
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Keywords: | 53A04 53C40 53C44 53C65 |
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