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Math Help - Differential Geometry - The Cone.

  1. #1
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    Differential Geometry - The Cone.

    Hi guys I was wondering if someone could show me why the cone is not a regular surface? I can't find a rigorous explination written down anywhere.
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  2. #2
    Super Member Failure's Avatar
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    Quote Originally Posted by befree View Post
    Hi guys I was wondering if someone could show me why the cone is not a regular surface? I can't find a rigorous explination written down anywhere.
    You would need to find a parametrization of an entire patch around the tip of the cone with continuous partial derivatives. That's obviously never going to happen.
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