Tangent Spaces and Coordinate Bases
A proof that coordinate derivations form a basis of the tangent space.
May 2026
Notes
Notes
Expository seminar notes and selected pages from working notebooks.
Seminar notes
Three short notes prepared in Japanese for a seminar in differential geometry.
Parallel Vector Fields and Parallel Transport
The coordinate ODE for parallel fields and the linear-isomorphism property of parallel transport.
June 2026
Geodesics and the Levi-Civita Connection
From the energy functional to the geodesic equation and the Levi-Civita connection coefficients.
July 2026
Notebook fragments
Two pages from course notebooks, retained here as visual excerpts rather than formal notes.
