Universität Stuttgart, Mathematisches Institut B, Pfaffenwaldring 57, 70569 Stuttgart, Germany
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 generalized to nonpositively curved surfaces. The proof uses the well-known curve shortening flow.
Classification (MSC91): 53C40; 53A04, 53C65
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