Metric diophantine approximation on non-degenerate manifold

Title

Metric diophantine approximation on non-degenerate manifold

Subject

Mathematics

Creator

Wenqing Yu

Date

2025

Contributor

Warwick Mathematics Institute

Abstract

This project is supervised by Han Yu in Warwick Mathematics Institute. The main aim of this project is to explore the Khinchine's theorem on \mathbb(R)^n, and further restrict to a non-degenerate manifold \mathcal{M} with Gaussian curvature on \mathbb{R}^n, with relative measure on \mathcal{M}. For simplicity we just prove the result over [0,1]^n.

Meta Tags

Number theory, Diophantine approximation, Khinchine's theorem

Files

Collection

Mathematics

Citation

Wenqing Yu, “Metric diophantine approximation on non-degenerate manifold,” URSS SHOWCASE, accessed November 4, 2025, https://urss.warwick.ac.uk/items/show/828.