Manifolds

Varios Autores

Manifolds - 1981 - 176 páginas

1.Manifolds. 2.Manifolds and coordinates sytems. 3.Smooth mappings. 4.Tangent vectors. 5.Differential maps. 6.Vector Fields. 7.Integral curves. 8.One-forms. 9.Smooth fiber bundles. 10.Smooth vs analytic. 11.The invariant aprroach. 12.The classical approach. 13.Frame fields. 14.Contraction. 15.Tensors at a point. 16.Metric tensors. 17.Examples. 18.Isometries. 19.Covariant derivatives. 20.Geodesics. 21.Type-changing. 22.Curvature. 23.Killing vector fields. 24.Extending manifolds. 25.Coordinate extensión. 26.Gluing topological spaces. 27.Gluin semi-riemannian manifolds. 28.Lorentz vector spaces. 29.Introduction to general relativity. 30.Spacetimes.

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515.1I/V.A