• DOI:10.2307/2315376
Corpus ID: 125176849

Lectures on Differential Geometry

@inproceedings{Sternberg1964LecturesOD,
  title={Lectures on Differential Geometry},
  author={S. Sternberg},
  year={1964}
}

S. Sternberg

Published 1964

Mathematics

Algebraic Preliminaries: 1. Tensor products of vector spaces 2. The tensor algebra of a vector space 3. The contravariant and symmetric algebras 4. Exterior algebra 5. Exterior equations Differentiable Manifolds: 1. Definitions 2. Differential maps 3. Sard's theorem 4. Partitions of unity, approximation theorems 5. The tangent space 6. The principal bundle 7. The tensor bundles 8. Vector fields and Lie derivatives Integral Calculus on Manifolds: 1. The operator $d$ 2. Chains and integration 3… CONTINUE READING

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