bullet$ Singular spaces and convergence of manifolds to singular spaces. $\bullet$ M. Radeschi and B. Wilking. On the Berger conjecture for manifolds all of whose geodesics are closed. Invent. Math., ...
Special relativity and Lorentz transformations; Scalar and electromagnetic fields; Curved spacetime and the metric tensor; The equivalence principle; Geodesics, covariant derivatives, and Killing ...
About half of the course focuses on curves and surfaces in three-dimensional Euclidean space and introduces key concepts such as first and second fundamental forms, Gauss curvature, covariant ...