2000 character limit reached
Numerical calculation method for function integration on submanifolds of $\mathbb{R}^n$ or compact Riemannian manifolds (2409.14151v1)
Published 21 Sep 2024 in math.NA, cs.NA, and math.DG
Abstract: 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.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.