## Differential geometry: Proceedings of the Third Symposium in Pure Mathematics of the American Mathematical Society |

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### Contents

Vector Bundles and Homogeneous Spaces | 7 |

A Procedure for Killing Homotopy Groups of Differentiable Manifolds | 39 |

Some Remarks on Homological Analysis and Structures | 56 |

Copyright | |

10 other sections not shown

### Common terms and phrases

abelian Amer atlas automorphisms base point bianalytic boundary canonical Cartan Chern Clifford-Klein spaces closed submanifold cochains codim coefficients cohomology groups commutative compact completes the proof complex analytic complex structure contact manifold coordinate system Corollary corresponding curvature defined Definition deformation denote diagram differentiable manifold dimension dimensional element equation equivalent exact sequence exists fibre bundle finite follows function germs given hence Hm(W homogeneous spaces homology homomorphism homotopy class identity imbedding induced integral invariant isomorphism Kodaira Lemma Let G Lie algebra linear Math metric module neighborhood obtain open set oriented pair principal G-bundle projection Proposition prove pseudogroup r-manifold r-ring respectively restriction Riemannian ring satisfying sheaf sheaves simply connected solvmanifold spectral sequence subgroup submanifold subset subspace Suppose surjective tangent bundle tangent vector tensor field Theorem topological torsion transformations trivial unique vector 1-form vector bundle vector fields zero