On the Gaussian Kinematic Formula of R. Adler and J. Taylor
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909319640907776 |
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| author | Fu, Joseph H. G. |
| author_facet | Fu, Joseph H. G. |
| contents | We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor. The idea, suggested already by Adler and Taylor, is to view the GKF as the limit of spherical kinematic formulas for spheres of large dimension $N$ and curvature $\frac 1 N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Gaussian Kinematic Formula of R. Adler and J. Taylor Fu, Joseph H. G. Differential Geometry Primary 53C65, Secondary 53Z50 We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor. The idea, suggested already by Adler and Taylor, is to view the GKF as the limit of spherical kinematic formulas for spheres of large dimension $N$ and curvature $\frac 1 N$. |
| title | On the Gaussian Kinematic Formula of R. Adler and J. Taylor |
| topic | Differential Geometry Primary 53C65, Secondary 53Z50 |
| url | https://arxiv.org/abs/2408.11233 |