Fundamentals of Differential Geometry - Softcover

Inhaltsangabe

I: GENERAL DIFFERENTIAL THEORY. 1: Differential Calculus. 2: Manifolds. 3: Vector Bundles. 4: Vector Fields and Differential Equations. 5: Operations on Vector Fields and Differential Forms. 6: The Theorem of Frobenius. II: METRICS, COVARIANT DERIVATIVES AND RIEMANNIAN GEOMETRY. 7: Metrics. 8: Covariant Derivatives and Geodesics. 9: Curvature. 10: Jacobi Lifts and Tensorial Splitting of the Double Tangent Bundle. 11: Curvature and the Variation Formula. 12: An Example of Seminegative Curvature. 13: Automorphisms and Symmetries. III: VOLUME FORMS AND INTEGRATION. 15: Volume Forms. 16: Integration of Differential Forms. 17: Stokes' Theorem. 18: Applications of Stokes' Theorem. Appendix: The Spectral Theorem.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.