I Generic Curve in R^n: What We Know

[diffgeo4life]

TL;DR Summary

κ1,κ2,...,κn-1 is constant

What do we know of a curve(/what can it look like) in R^n if we know that κ1,κ2,...,κn-1 is constant?

 

[Ibix]

If you don't tell us what the $\kappa$s are, not a lot.

 

[diffgeo4life]

Precisely the exercise asks: "Describe those curves of general type in R^n which have
constant curvatures."

 

[Orodruin]

So this is a homework type problem then. It should therefore be posted in the appropriate homework forum using the homework template - including the full problem statement, relevant equations, and your work/thoughts so far.

 

[Ibix]

your work/thoughts so far.

Indeed. @diffgeo4life - a little bit of Googling will get you at least part way there even if your textbook isn't helpful.

 

[diffgeo4life]

So this is a homework type problem then. It should therefore be posted in the appropriate homework forum using the homework template - including the full problem statement, relevant equations, and your work/thoughts so far.

Sorry then, I guess then i will try posting in the Homework- Calculus and beyond forum, that looks most appropriate