Differential Geometry: Proceedings of the Third Symposium in Pure Mathematics of the American Mathematical SocietyCarl Barnett Allendoerfer |
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
a₁ abelian Amer atlas automorphisms base point bianalytic C₁ canonical Chern closed submanifold cochains codim coefficients commutative compact completes the proof complex analytic contact manifold coordinate system COROLLARY corresponding curvature defined DEFINITION deformation denote diagram differentiable manifold dimension dimensional dx¹ element equation equivalent exact sequence exists fibre bundle finite follows function germs given H¹(V hence homogeneous homology homomorphism homotopy class identity imbedding induced integral invariant isomorphism Kodaira Lemma Let G Lie algebra Lie group linear Math module neighborhood obtain open set oriented pair principal G-bundle projection PROPOSITION prove pseudogroup respectively restriction ring satisfying sheaf sheaves simply connected solvmanifold spectral sequence subgroup submanifold subset subspace Suppose surjective T-manifold tangent bundle tangent vector tensor field theorem topological torsion transformations trivial U₁ V₁ vector 1-form vector bundle vector fields zero