Quick question: from which topological consideration can one derive the fact that a sphere S² does not allow for a globally flat geometry?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# No globally flat geometry on S²

Loading...

Similar Threads for globally flat geometry | Date |
---|---|

A Manifolds: local & global coordinate charts | Jul 8, 2016 |

Killing vector field => global isomorphisms? | May 2, 2014 |

Sufficient condition for global flatness | Oct 28, 2012 |

Global diffeomorphism with tangent bundle | Oct 5, 2010 |

Global Section of Fiber Bundles with Contractible Fiber | May 4, 2010 |

**Physics Forums - The Fusion of Science and Community**