Inverse boundary problems are a rapidly developing area of applied mathematics with
applications throughout physics and the engineering sciences. However, the mathematical …

This survey discusses the problem of describing properties of the class of metric spaces in
which the Uryson construction of a universal homogeneous metric space (for this class) can …

The space of possible particle velocities is a four-dimensional nonholonomic distribution on
a manifold of higher dimension, say, M 4× ℝ 1. This distribution is determined by the 4 …

Simple closed geodesics on regular tetrahedra in Lobachevsky space arXiv:1903.10777v2 [math.MG]
28 Mar 2019 Page 1 Simple closed geodesics on regular tetrahedra in Lobachevsky space …

The aim of this book is to reveal the potential of Lobachevsky's geometry in the context of its
emergence in various branches of current interest in contemporary science, first and …

It is known that for a sequence {Ω t} of convex sets expanding over the whole hyperbolic
space H n+ 1 the limit of the quotient vol (Ω t)/vol (∂ Ω t) is less or equal than 1/n, and …

We give sharp upper estimates for the difference circumradius minus inradius and for the
angle between the radial vector (respect to the center of an inball) and the normal to the …

The field equations of gravity coupled to electromagnetism and equations of motion of a
charged particle are part of the Kaluza–Klein theory where general relativity is extended to …

An iterative two-stage proximal algorithm for approximate solution of equilibrium problems in
Hadamard spaces is considered. This algorithm is an analog of the already studied two …

The paper deals with the properties of the exterior algebra ℝ (Λ n) related to the Euclidean
structure on ℝ (Λ n) induced by the scalar product in ℝ (Λ n). A geometric interpretation of …