## Conformal structures on quadrics |

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### Contents

Conformal Structures and Quadrics | 4 |

Standard Real Forms | 17 |

Geometric Interpretation of Bundles | 35 |

3 other sections not shown

### Common terms and phrases

acts transitively AeGL(n;R bijective bilinear form bundle isomorphism bundle of orthogonal Chapter complex conformal structure complex metric complex quadric ft computation conformal equivalence conformal map conformal structure defined conformally related construct defined by Equation defined on ft Definition denote diag(-l diagram diffeomorphism differentiable manifold en+2 Equation 13 equivalence relation exists G-structure G/RT given by Equation hermitian homeomorphism homogeneous space induced isometries isotropy subgroup Lemma Lie group linear matrix metric g n+1 n+2 non-degenerate one-to-one open set orthogonal frames orthogonal group orthonormal basis orthonormal frames principal bundle pseudoriemannian metric real conformal structure real form real quadric Remark restrict Rn(col s s s scalar product special hyperplane structure group structure on ft symmetric t(rd tangent bundle tangent to HnK Theorem U(m+l;C v.s. conjugation defined vector space conjugation