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Cannon-Thurston Maps, Harmonic Maps, and Minimal Surfaces in Fibered Hyperbolic 3-Manifolds
Let $M_f$ be the closed hyperbolic $3$--manifold which is the mapping torus of a pseudo-Anosov homeomorphism $f$ of a closed surface $S$ of genus at least two. The inclusion of the fiber subgroup \(π_1(S)\hookrightarrow π_1(M_f)\) has a Cannon--Thurston boundary map \(\partialπ_1(S)\cong S^1\to S^2\
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