Charakterisierungen von inneren Volumina auf konvexen Körpern und konvexen Funktionen

Schnappschüsse moderner Mathematik aus Oberwolfach

Charakterisierungen von inneren Volumina auf konvexen Körpern und konvexen Funktionen

Wenn wir die Größe einer zweidimensionalen Form mittels einer Zahl ausdrücken wollen, dann denken wir gewöhnlich an ihren Flächeninhalt oder ihren Umfang. Aber was macht diese Kennzahlen so besonders? Wir beantworten diese Frage anhand klassischer mathematischer Resultate und werfen einen Blick auf Anwendungen und Verallgemeinerungen dieser Theorie.

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Mathematisches Fachgebiet

Analysis
Geometrie und Topologie

Autor(en)

Fabian Mussnig

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2022-011-EN

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snapshot-2022-011-de.pdf

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