https://anandhkrishnam.github.io/lectures/mathematical-gr/Recent content in Mathematical General Relativity on Anandh Krishna MurichattaHugoen-GB© {year} Anandh Krishna Murichatta · text licensed CC BY 4.0Sat, 13 Jun 2026 00:00:00 +0530https://anandhkrishnam.github.io/lectures/mathematical-gr/curvature-and-holonomy/Sat, 13 Jun 2026 00:00:00 +0530https://anandhkrishnam.github.io/lectures/mathematical-gr/curvature-and-holonomy/<p>The connection is the rule for comparing vectors at neighbouring points; its curvature is the obstruction to comparing them <em>globally</em>. This chapter assembles the whole apparatus — equations, a definition, a theorem, a proof, and a short Julia experiment — around one classical fact: <strong>parallel transport around a loop remembers the curvature it enclosed.</strong></p>