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

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Posts: 2,720
Registered: 2/15/09
Re: Surface geodesics
Posted: Jan 20, 2014 12:11 AM
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On 1/19/2014 5:31 PM, William Elliot wrote:
> On Sun, 19 Jan 2014, ~@XPOSITO wrote:

>> Let M be a regular affine-connected surface for which the following holds:
>> "For every geodesic curve gamma in M, gamma is contained in a plane"
>> Can M be said not to be contained in a sphere or a plane?

> No. Don't double negatives not leave you untied in knots?

Hmm, here from "untied, in knots", it is that tying the knot
and untying the knot do not start the same ways, with all
knots setting from the load line or knot tie line. This is
with knots starting with loops.

The not and un-, here, the un- is already defined, beyond that
"double negatives" cancel that it's _what_ they cancel, these
are obviously such basic facts of the very meaning of things.
Then, with asking politely in the negative, really it demands
asking back what of it.

M is a plane.

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