Uniqueness and non-existence of minimal submanifolds in monotone Riemannian manifolds


Juan S. Salamanca - Granada



Xoves 17 de novembro de 2016 ás 16 horas na aula 7.


Resumo:
In this talk we describe several uniqueness and non-existence of minimal submanifolds in certain class of Riemannian manifolds. In fact, we will assume that the manifold admits a distinguished closed vector field whose covariant derivative is a semi-definite tensor field. We will show that several important families of Riemannian manifods lie in this class, for instance, the Cartan-Hadamard manifolds. Applications to Geometric Analysis are also providen.


© Juan S. Salamanca.