Abstract
The aim of this note is to give an isoperimetric inequality for the case that the area is measured in the ordinary sense but the element of arc is “homogeneous and non-isotropic”, that is measured with some non-euclidean (and not even convex) metric. — The idea of the proof is due to E. Schmidt. However, as this author works quite insymmetrically our formalism has to be quite different.
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Hörmander, L. (2018). An Isoperimetric Inequality In Homogeneous Finsler Spaces. In: Unpublished Manuscripts . Springer, Cham. https://doi.org/10.1007/978-3-319-69850-2_2
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DOI: https://doi.org/10.1007/978-3-319-69850-2_2
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