Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1995 • Question 16

Question

Math 6510 • Differentiable Manifolds Fall 1995 • Question 16

Prove that the Riemannian connection on a Riemannian manifold \((M^n,g)\) is uniquely determined. (Recall that a Riemannian connection is an affine connection which has zero torsion and is metric compatible.)

Raw LaTeX

Prove that the Riemannian connection on a Riemannian manifold
\((M^n,g)\) is uniquely determined. (Recall that a Riemannian connection is an affine
connection which has zero torsion and is metric compatible.)

Topic Tags

Homotopy and Degree on Manifolds Smooth Manifolds and Embedded Submanifolds Stokes' Theorem and Integration on Manifolds