Weighted floating functions and weighted functional affine surface areas
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916147306168320 |
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| author | Schütt, Carsten Thaele, Christoph Turchi, Nicola Werner, Elisabeth M. |
| author_facet | Schütt, Carsten Thaele, Christoph Turchi, Nicola Werner, Elisabeth M. |
| contents | The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or $s$-concave functions. This leads to new notions of weighted functional affine surface areas. Their relation to more traditional versions of functional affine surface areas as well as to the classical affine surface areas for convex bodies is discussed in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02925 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted floating functions and weighted functional affine surface areas Schütt, Carsten Thaele, Christoph Turchi, Nicola Werner, Elisabeth M. Metric Geometry Differential Geometry Functional Analysis 52A20, 53A15 The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or $s$-concave functions. This leads to new notions of weighted functional affine surface areas. Their relation to more traditional versions of functional affine surface areas as well as to the classical affine surface areas for convex bodies is discussed in detail. |
| title | Weighted floating functions and weighted functional affine surface areas |
| topic | Metric Geometry Differential Geometry Functional Analysis 52A20, 53A15 |
| url | https://arxiv.org/abs/2403.02925 |