Templates of (Un)stable Subbundle

This lecture delves into the geometric analysis of the stable and unstable foliation in 3-dimensional Anosov flows, exploring the joint non-integrability between them at microscopic scales. The instructor presents templates of (un)stable subbundles and the approximation of the temporal-distance function, providing insights into the local charts, linear approximations, and the proof of non-integrability. The lecture concludes with a discussion on the uniform oscillation and continuity in the context of the Anosov diffeomorphism.