The homogeneous flow of a parallelizable manifold

Ercüment Ortaçgil

The homogeneous flow of a parallelizable manifold

Differential Geometry 2014-05-01 v2

Authors: Ercüment Ortaçgil

Abstract

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.

Keywords

ricci flow geodesic flow geometric flows

Cite

@article{arxiv.1403.7776,
  title  = {The homogeneous flow of a parallelizable manifold},
  author = {Ercüment Ortaçgil},
  journal= {arXiv preprint arXiv:1403.7776},
  year   = {2014}
}

Comments

In the original version of this paper I incorrectly claimed that the homogeneous flow HF does not develop finite time singularities. This mistake is corrected in this version

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