The homogeneous flow of a parallelizable manifold
  Motivated by the Hamilton's Ricci flow, we define the homogeneous flow of a parallelizable manifold and show the long time existence and uniqueness of its solutions on $[0,\infty).$ Using this flow, we outline a simple proof of the Poincare Conjecture. 
Erc\"ument Orta\c{c}gil
math.DG