|Oct 21, 2016
|Novosibirsk State University
We give a survey of new and old results concerning volume calculations in the spaces of constant curvature. We cover the case of knots and links, some knoted graphs that are considered as the singular set of a cone-manifold provided by the Riemannian metric of constant curvature. We also apply the developed method to find the volumes of polyhedra in the hyperbolic, spherical and Euclidean spaces.