Во вторник, 25 апреля, в 16:20 в фойе конференц-зала Института математики им. С. Л. Соболева СО РАН состоится очередное заседание семинара по геометрическому анализу. К семинару также можно будет подключиться через Google Meet по ссылке https://meet.google.com/aej-uycp-gpy.
Докладчик: Irina Markina (University of Bergen, Норвегия)
Название доклада: On rolling of manifolds
Аннотация:
In the talk, we will introduce the notion of rolling one manifold over another. The idea of the rolling map originated as a simple mathematical model of rolling a ball over a plate with the constraints of no-slip and no-twist motion in the works of S. Chaplygin (1897), K. Nomizu (1978), R. Bryant and L. Hsu (1993). The geometric features are closely related to the distributions of E. Cartan type (1910). Later this idea was extended to the rolling of Riemannian manifolds of any dimension, as an isometry map preserving the parallelism of vector fields. After a historical overview and necessary definitions, we consider a rolling of Riemannian symmetric spaces on flat spaces and mention some applications of rolling maps in the interpolation and construction of stochastic processes on manifolds.
