Moreover, measuring the wavefronts of elastic waves scattered from discontinuities inside the Earth, one obtains information on the broken geodesics in the Riemannian metric. Thus seismic measurements ...

Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric ...

Two other subprojects are concerned with the classification of manifolds all of whose geodesics are closed and the existence of closed geodesics on Riemannian orbifolds. online • EXC 2044 - B1: Smooth ...

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 ...

Electroencephalographic data were simultaneously recorded using an Electrical Geodesics Inc. system with a 128-electrode net fitted over the infant head (ocular electrodes normally affixed to the ...

bullet$ M. Radeschi and B. Wilking. On the Berger conjecture for manifolds all of whose geodesics are closed. Invent. Math., 210(3):911–962, 2017. $\bullet$ E. Cabezas-Rivas and B. Wilking. How to ...