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How to show that the normal spherical image of x is never constant?

- Thread starter drc4rd1n
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- #1

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How to show that the normal spherical image of x is never constant?

- #2

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what is normal image of a point??

please explain

please explain

- #3

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all functions anda curves considered here are assumed to be of class at least Cwhat is normal image of a point??

please explain

If x(s) is a regular curve parametrized by arc length s, then t:(a,b)-> R

this curve might not be regular and is called the tangent spherical image of x.

the normal spherical image n(s) and binomial spherical image b(s) of x can also be defined.

so, the question is how to proof that the normal spherical image of x is never constant?

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