## Geometry, Topology, and Physics: Proceedings of the First Brazil-USA Workshop, Held in Campinas, Brazil, June 30-July 7, 1996The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications. |

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### Contents

Boris Apanasov | 35 |

John Bolton and Lyndon M Woodward | 59 |

Steven Bradlow James Glazebrook and Franz Kamber | 83 |

Copyright | |

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### Common terms and phrases

4-manifolds action acts admits affine associated assume boundary bundle called closed cohomogeneity compact complex components condition conformal connected consider constant construction corresponding curves defined definition denote described determined Differential dimension dimensional discrete element embedding equations equivalent example exists extension fact field fixed flat foliation function fundamental gauge geodesic geometric given gives group G harmonic maps hence holomorphic homology hyperbolic induced integral invariant isomorphism Kähler Lemma Lie algebra Lie group line bundle manifolds Math metric minimal moduli space natural Note obtained operator orbit pair parabolic particular positive positive scalar curvature problem projection Proof properties Proposition prove rank reduction refer Remark representation respect result satisfy simple smooth solutions space sphere stable standard structure subalgebras subgroup surface Theorem theory topology triple University vector bundles