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Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse http://people.csail.mit.edu/%7Eorourke/MathOverflow/TwistedTube.jpgTwisted ellipse

Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse http://people.csail.mit.edu/%7Eorourke/MathOverflow/TwistedTube.jpg

Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse

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Joseph O'Rourke
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Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse http://cs.smith.edu/%7Eorourke/MathOverflow/TwistedTube.jpgTwisted ellipse http://people.csail.mit.edu/%7Eorourke/MathOverflow/TwistedTube.jpg

Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse http://cs.smith.edu/%7Eorourke/MathOverflow/TwistedTube.jpg

Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse http://people.csail.mit.edu/%7Eorourke/MathOverflow/TwistedTube.jpg

Source Link
Joseph O'Rourke
  • 150.9k
  • 36
  • 358
  • 958

Suppose that the normal frame along $\gamma$ twists. Are you sure it still constitutes an optic fiber? I am imagining, for example, smoothly twisting an ellipse of nonzero eccentricity.
           Twisted ellipse http://cs.smith.edu/%7Eorourke/MathOverflow/TwistedTube.jpg