Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Surface geodesics
Replies: 16   Last Post: Jan 23, 2014 7:01 AM

 Messages: [ Previous | Next ]
 €XPOSITO Posts: 9 Registered: 1/19/14
Re: Surface geodesics
Posted: Jan 20, 2014 3:15 AM

Thanks a lot for your reply. I haven't yet thought about it, but I would like to
ask you, if this is not a silly question, what are the symbols \/ and R. Regards.

On 20/01/2014 08:41, William Elliot wrote:
> On Sun, 19 Jan 2014, ?~B?XPOSITO wrote:
>

>> Can somebody provide an example of a connected surface containing a
>> non-plane> geodesic, apart from those surfaces contained in the plane
>> or the sphere? Does such a surface even exist?

>
> Yes.
> ( (x,y,z} | x^2 + y^2 = 1, z in [-1,1] }
> . . \/ Rx[-2,2]x{1} \/ [-2,2]xRx{-1}
> . . - { (x,y) | x^2 + y^2 < 1 }x{-1,1}.
>
> A ribbon 3 ft by 4 in. twisted lengthwise 2 rotations.
>
>
>

Date Subject Author
1/19/14 €XPOSITO
1/19/14 €XPOSITO
1/19/14 Brian Q. Hutchings
1/19/14 €XPOSITO
1/19/14 William Elliot
1/20/14 ross.finlayson@gmail.com
1/20/14 €XPOSITO
1/21/14 Narasimham
1/20/14 Shmuel (Seymour J.) Metz
1/21/14 Leon Aigret
1/22/14 €XPOSITO
1/20/14 William Elliot
1/20/14 €XPOSITO
1/20/14 William Elliot
1/20/14 €XPOSITO
1/20/14 William Elliot
1/23/14 €XPOSITO