Lectures on Differential Geometry I

Beschreibung

This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes’ Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich.

This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes’ Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich.

Autor*in

Will J. Merry

Themen in »Lectures on Differential Geometry I«

Manifolds Tangent space Partition of unity Tangent bundle Vector field Flows Lie groups Lie algebras Homogeneous spaces Foliations Frobenius theorem Fiber bundles Vector bundles Tensor fields Lie derivative

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