## Symmetric Spaces; Short Courses Presented at Washington University |

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### Contents

Minimal Immersions of Symmetric Spaces into Spheres | 2 |

Minimal Immersions into Euclidean Space and into Spheres | 11 |

The LaplaceBeltrami Operator of a Homogeneous Space | 17 |

Copyright | |

65 other sections not shown

### Common terms and phrases

action acts analytic assume Banach space boundary boundary components bounded called closed compact complex condition connected consider consists constant contained continuous convergence Corollary corresponding defined definite denote determined differential domain element elementary spherical function equal equation equivalent example exists extend fact field finite fixed follows formula give given harmonic Hence Hermitian identity immersion implies invariant irreducible isotropy Lemma Let G Lie algebra Lie group linear manifold Math maximal means measure metric minimal Moreover noncompact normal operator orbit orthogonal particular Poisson integral problem projection proof Proposition prove rank reducible representation respect restriction result Riemannian roots satisfies semisimple simple structure subgroup of G subset subspace Suppose symmetric spaces Theorem theory tion transform unique unitary vector