THE HOPF FIBRATION

24/05/2018

Conferencia a cargo del prof. Marian Munteanu (University of Iasi)
Facultad de Ciencias
Aula: A-21
Días: 4, 5, 6 y 7 de junio de 2018
Horario: de 9:00 a 11:00 horas
Dirigido a cualquier miembro de la sección de matemáticas y a estudiantes de grado y posgrado con conocimientos de geometría diferencial .

Abstract:
We recall some classical results on the Hopf fibration f:S^3 -> S^2. We focus on the preimage of a curve gamma on S^2 via the projection f. It is known as the Hopf tube over gamma and we give some curvature properties. We point out, as application related to Physics, some developments on magnetic curves on the 3-dimensional sphere. We complete the lectures extending all these studies to the fibration M^3(c) -> S^2(r), where M^3(c) is an elliptic Sasakian space form.

Contacto:
Rafael López (rcamino@ugr.es)