## Geometry and Topology of Submanifolds, Volume 4, Part 1991World Scientific, 1992 - Geometry, Differential |

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### Contents

A Note on the Centroid Set of Compact Symmetric Spaces of Rank One | 3 |

Affine Hypersurfaces with Constant Affine Sectional Curvature | 17 |

Bernstein Type Theorems for Minimal Surfaces | 30 |

Copyright | |

12 other sections not shown

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### Common terms and phrases

affine affine transformation applying assume basis called camera characteristics compact complete condition conformal conjugate connection consider constant contained coordinates corresponding curve defined definition denote derivatives determined differential direction eigenvalues element equation equivalent example exists expression fact Figure finite type flat formula function fundamental Gauss geodesic geometry given gives Hence holomorphic hypersphere hypersurface implies independent induced integral introduced invariants isometric immersion Laplace image Laplace transformation Lemma linear linearly lines Math mean curvature metric minimal immersion minimal surface Moreover normal Note object obtain origin parallel parameter particular plane positive possible principal problem projective Proof Proposition prove rank reference relative remark respect restricted rotation satisfies space sphere standard structure submanifold Suppose surface symmetric space tangent tangent vector tensor Theorem vector field vision Willmore