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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2018 • Question 3

Question

Math 6510 • Differentiable Manifolds Spring 2018 • Question 3

Give a foliation on \(S^3\) whose leaves are each diffeomorphic to \(S^1\). (To describe the foliation, you don’t need to give the charts. Just a description of the leaves will do.)

Raw LaTeX

Give a foliation on \(S^3\) whose leaves are each diffeomorphic to \(S^1\).
(To describe the foliation, you don't need to give the charts. Just a
description of the leaves will do.)

Topic Tags

Distributions, Plane Fields, and Frobenius Integrability