The Math Forum

Search All of the Math Forum:

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

Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
William Elliot

Posts: 2,637
Registered: 1/8/12
Re: Surface geodesics
Posted: Jan 20, 2014 2:41 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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?

( (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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.