Fundamentals of Differential Geometry
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- Artikel-Nr.: 10198037
Beschreibung
From the contents:
- I.: General Differential Theory: Differential Calculus
- Manifolds. Vector Bundles. Vector Fields and Differential Equations. Operations on Vector Fields and Differential Forms. The Theorem of Frobenius
- II: Metrics, Covariant Derivatives and Riemannian Geometry: Metrics. Covariant Derivatives and Geodesics. Curvature. Jacobi Lifts and Tensorial Splitting of the Double Tangent Bundle. Curvature and the Variation Formula. An Example of Seminegative Curvature. Automorphisms and Symmetries
- III: Volume Forms and Integration: Volume Forms. Integration of Differential Forms. Stokes' Theorem. Applications of Stokes' Theorem
- Appendix: The Spectral Theorem
- I.: General Differential Theory: Differential Calculus
- Manifolds. Vector Bundles. Vector Fields and Differential Equations. Operations on Vector Fields and Differential Forms. The Theorem of Frobenius
- II: Metrics, Covariant Derivatives and Riemannian Geometry: Metrics. Covariant Derivatives and Geodesics. Curvature. Jacobi Lifts and Tensorial Splitting of the Double Tangent Bundle. Curvature and the Variation Formula. An Example of Seminegative Curvature. Automorphisms and Symmetries
- III: Volume Forms and Integration: Volume Forms. Integration of Differential Forms. Stokes' Theorem. Applications of Stokes' Theorem
- Appendix: The Spectral Theorem
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