Parallelizable manifolds
Source: Miklós Schweitzer 2018 P11
November 18, 2018
topology
Problem Statement
We call an -dimensional smooth manifold parallelizable if it admits smooth tangent vector fields that are linearly independent at all points. Show that if is a closed orientable -dimensional smooth manifold of Euler characteristic that has an immersion into a parallelizable smooth -dimensional manifold , then is itself parallelizable.