Numerical calculation method for function integration on submanifolds of $\mathbb{R}^n$ or compact Riemannian manifolds
| Autor: | Deng, Fusheng, Huang, Gang, Wu, Yingyi |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we present a method for digitally representing the "volume element" and calculating the integral of a function on compact hypersurfaces with or without boundary, and low-dimensional submanifolds in $\mathbb{R}^n$. We also extend such calculation to hypersurfaces in compact Riemannnian manifolds. |
| Databáze: | arXiv |
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