Bienvenido a la página del Seminario de Geometría del Dpto. de Geometría y Topología de la Universidad de Granada. Aquí podrá encontrar toda la información sobre las próximas conferencias y eventos organizados por el departamento.

# The Hopf fibration 1

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

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.

# The Hopf fibration 2

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

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.

# The Hopf fibration 3

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

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.

# The Hopf fibration 4

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

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.

# Eddygledson Souza Gama

Despacho: IEMATH, B-8C

# Gabriel Ruiz-Hernández

## Instituto de Matemáticas, Universidad Nacional Autónoma de México

Despacho: D4, IEMath

# Marcos Paulo Tassi

## Universidade Federal de São Carlos

Despacho: IEMath B8-B

# Maciej Czarnecki

## Uniwersytet Łódzki

Despacho: IEMath-GR D5

# Marian Ioan Munteanu

## Universitatea Alexandru Ioan Cuza

Despacho: 5, segunda planta

# Open PhD position. Geometry section KU Leuven

There is an open position for a PhD sudent in the KU Leuven Geometry Section (Belgium), starting next academic year. The deadline for application is June 16, 2018. Please find more information and how to apply here in the official application. Feel free to contact Joeri Van der Veken (joeri.vanderveken@kuleuven.be) in case of any questions.

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