Carleton University · MATH 4208

Introduction to Differentiable Manifolds (Honours)

Credits : 0.5 creditReference year : 2026-27

Description

Introduction to differentiable manifolds; Riemannian manifolds; vector fields and parallel transport; geodesics; differential forms on a manifold; covariant derivative; Betti numbers.

Prerequisites

  • Prerequisite(s): MATH 3002 or permission of the School.

Conditions and arrangements

  • Prerequisite(s): MATH 3002 or permission of the School.
  • Lectures three hours a week.
Reference text in its original language

Introduction to differentiable manifolds; Riemannian manifolds; vector fields and parallel transport; geodesics; differential forms on a manifold; covariant derivative; Betti numbers.

  • Prerequisite(s): MATH 3002 or permission of the School.
  • Lectures three hours a week.

Sources and references

Dates and sources are retained to help you verify the information. Translations are provided to facilitate reading; the official source governs conditions and requirements.

Source reference : https://calendar.carleton.ca/undergrad/courses/MATH/

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