Cyclic surfaces and Hitchin components in rank 2
Cyclic surfaces and Hitchin components in rank 2
We prove that given a Hitchin representation in a real split rank 2 group G 0 , there exists a unique equivariant minimal surface in the corresponding symmetric space. As a corollary, we obtain a parametrization of the Hitchin components by a Hermit-ian bundle over Teichmuller space. The proof goes …