So, the parallel transport of a vector along a longitude preserves the angle it makes with the longitude. But the same is not true for parallel transport along Latitudes - the angle made by a vector with the latitude changes (to keep the angle wrt the Geodesic same) 3/3 #DiffGeo

Investigating isospectral domains - domains with identical spectra but different shapes - when subject to uniform acceleration.
Using #diffgeo yields a more complete PDE than what's been used in lit. since '50s and better behaviour at high rot. freq.

Rotating Isospectral Drums In this thesis I demonstrate that isospectral domains, that is domains of differing geometric shapes that possess identical spectra, do not remain isospectral when subject to uniform rotation. One thu...

Finally uploaded my old MSc thesis arxiv.org/abs/2510.02397
A beautiful mix of #diffgeo #physics - #relativity formal #analysis , #linalg and #computing

Applicable to optical microcavities, Sagnac interferometer, topological photonics (c.f. literature)