Existence and non existence of complete area minimizing surfaces in $m a t h b b E (- 1, t a u)$ .

Início: 29/10/2020 17:00

Término: 29/10/2020 18:00

Palestrante: Álvaro Krüger Ramos (Universidade Federal do Rio Grande do Sul)

E-mail do Palestrante:

Resumo: Recall that $m a t h b b E (- 1, t a u)$ is a homogeneous space with four-dimensional isometry group which is given by the total space of a fibration over $m a t h b b H^{2}$ with bundle curvature $t a u$ . Given a finite collection of simple closed curves in $p a r t i a l_{i n f t y} | m a t h b b E (- 1, t a u)$ , we provide sufficient conditions on $G a m m a$ so that there exists an area minimizing surface $S i g m a$ in $m a t h b b E (- 1, t a u)$ with asymptotic boundary $G a m m a$ . We also present necessary conditions for such a surface $S i g m a$ to exist. This is joint work with P. Klaser and A. Menezes.

Existence and non existence of complete area minimizing surfaces in mathbbE(−1,tau).

Existence and non existence of complete area minimizing surfaces in $m a t h b b E (- 1, t a u)$ .