Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Summer 2016 • Question 2

Question

Math 6510 • Differentiable Manifolds Summer 2016 • Question 2

Prove that the homogeneous space \(\mathrm {SL}_2(\mathbb {R})/\mathrm {SL}_2(\mathbb {Z})\) is not compact.

Raw LaTeX

Prove that the homogeneous space \(\mathrm{SL}_2(\R)/\mathrm{SL}_2(\Z)\) is
not compact.

Topic Tags

Fundamental Groups