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A comprehensive introduction to differential geometry

, Volume 1
Front Cover
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Brandeis University, 1970 - Geometry, Differential

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I learned what the Gauss-Bonnet Theorem means for Mankind. Read full review

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Common terms and phrases

basis boundary called Chapter choose classical clearly closed cohomology compact support components compute condition connected consider contained contravariant coordinate system coordinate system x,U COROLLARY countable covariant critical point define denote diagram diffeomorphism differential equations disjoint union equivalence classes exact example exp tY fibre finite function f functor geodesic hence Hint homeomorphic immersion implies inclusion map inner product integral curve integral manifold isomorphism k-form left invariant Lemma Let f Lie algebra Lie group manifold-with-boundary map f matrix metric space Mobius strip n-dimensional n-manifold notation obtain one-one open set open subsets order isomorphic orientation preserving oriented manifold Problem Proposition prove Riemannian metric satisfies sequence singular structure submanifold subspace Suppose tangent bundle tangent vector tensor field topology torus trivial unique vector bundle vector field vector space well-ordered set

Bibliographic information

QR code for A comprehensive introduction to differential geometry
TitleA comprehensive introduction to differential geometry, Volume 1
A Comprehensive Introduction to Differential Geometry, Michael Spivak
AuthorMichael Spivak
PublisherBrandeis University, 1970
Original fromthe University of Michigan
Digitized6 Feb 2010
SubjectsGeometry, Differential
  
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