THE well-known works of Darboux and Bianchi are so excellent, each in its own way, that one might be inclined to doubt whether another text-book on the subject was really required—at least, for the ...

One of differential geometry’s most challenging problems has finally been solved after 150 years, with a closed surface Bonnet pair.

Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature. The course aims to give a ...

The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations of classic algorithms. It also includes algorithms from recent research which routinely outperform the ...