## Harmonic mappings and minimal immersions: lectures given at the 1st 1984 session of the Centro internationale matematico estivo (C.I.M.E.) held at Montecatini, Italy, June 24-July 3, 1984 |

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### Contents

The Dirichlet problem for harmonic mappings | 2 |

P Matzeu Istituto Matematico Università Via Ospedale 72 09100 Cagliari | 3 |

Harmonic mappings into spheroids | 11 |

Copyright | |

9 other sections not shown

### Other editions - View all

Harmonic Mappings and Minimal Immersion: Lectures given at the 1st 1984 ... Enrico Giusti Limited preview - 2006 |

### Common terms and phrases

apply arbitrary assume assumptions boundary values bounded BR(p Christoffel symbols closed geodesic compact conformal map constant continuous converges convex curve define denotes derive diffeomorphism differential dimension Dirichlet problem Eells elliptic systems energy minimizing equations estimates for harmonic Euclidean space existence theorem Gauss map geometry harmonic coordinates harmonic diffeomorphisms hence Hildebrandt holds holomorphic homotopic homotopy class implies inequality infer Jacobi field Jost Kaul lectures Lemaire Lemma Math maximum principle mean curvature metric metric tensor minimal submanifolds minimal surfaces Moreover nonlinear nonpositive obtain orthonormal Preprint priori estimates proof of Theorem proved quadratic regular ball representation respect result Riemann normal coordinates Riemannian manifold satisfies Schoen sectional curvature sequence singular smooth subset Suppose tangent tensor Theorem 1.2 theory topological Uhlenbeck uniqueness theorem variational vector field weakly harmonic map Widman yields