Abstract
This is a synthetic presentation of basic notions in convex geometry, with corresponding elementary properties, such as: Minkowski addition; Hausdorff distance; support function; the polar body and the gauge function; the Steiner formula; intrinsic and mixed volumes; surface area measure.
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References
D. Hug, W. Weil, Lectures on Convex Geometry, Graduate Texts in Mathematics, vol. 286 (Springer, Cham, 2020)
R. Schneider, Convex Bodies: the Brunn-Minkowski Theory, Encyclopedia of Mathematics and its Applications, vol. 151, Second expanded edn. (Cambridge University Press, Cambridge, 2014)
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Colesanti, A. (2023). Notation and Introductory Material. In: Colesanti, A., Ludwig, M. (eds) Convex Geometry. Lecture Notes in Mathematics(), vol 2332. Springer, Cham. https://doi.org/10.1007/978-3-031-37883-6_1
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DOI: https://doi.org/10.1007/978-3-031-37883-6_1
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