Timeline for Geodesics on convex hypersufaces
Current License: CC BY-SA 3.0
3 events
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Jun 9, 2015 at 11:29 | comment | added | John Harvey | If you rescale all of $\mathbb{R}^{n+1}$, then you will find the tangent cone of $M$ appearing as a subcone of $\mathbb{R}^{n+1}$. This gives you a one-sided tangent vector for the geodesic as a function with range $\mathbb{R}^{n+1}$ | |
Jun 9, 2015 at 10:09 | comment | added | asv | Could you please elaborate a little bit. It seems that both approaches to the tangent cone you mentioned are purely intrinsic. But derivative depends on the imbedding to Euclidean space (unless you use some notion of covariant derivative which I am not aware of). | |
Jun 8, 2015 at 13:38 | history | answered | John Harvey | CC BY-SA 3.0 |