Record link: 
http://hdl.handle.net/20.500.12708/210180
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Title: 
Floating bodies and duality in spaces of constant curvature
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Citation: 
Besau, F. G., & Werner, E. M. (2024). Floating bodies and duality in spaces of constant curvature. In Workshop: High dimensional phenomena: geometric and probabilistic aspects (pp. 1–2). http://hdl.handle.net/20.500.12708/210180
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Publication Type: 
Inproceedings - Abstract Book Contribution
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Language: 
English
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Authors: 
Besau, Florian Georg 
Werner, Elisabeth M. 
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Organisational Unit: 
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie 
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Published in: 
Workshop: High dimensional phenomena: geometric and probabilistic aspects 
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Date (published): 
12-Mar-2024
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Event name: 
Workshop: High-dimensional Phenomena: Geometric and Probabilistic Aspects 
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Event date: 
11-Mar-2024 - 15-Mar-2024
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Event place: 
Bonn, Germany
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Number of Pages: 
2
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Keywords: 
affine surface area; Lp-affine surface area; floating body; weighted floating body; spherical convex body; hyperbolic convex body; de Sitter convex body; illumination body; separation body
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Abstract: 
Meyer & Werner showed that Lutwak's p-a ne surface area in d-dimensional Euclidean space arises as the volume derivative of the oating body of convex body conjugated by polarity for Hausdor Research Institute for Mathematics 1 talks will be held on-site (for invited guests only)p = −d/(d + 2). We establish an extension of this relation in the spherical and hyperbolic space. Our results hold in spaces of constant curvature, and we also show that the Euclidean result of Meyer & Werner can be obtained by a limiting process as the space curvature tends to zero. Based on joint work with Elisabeth Werner.
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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Appears in Collections:
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