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Topic: Re: Differential geometry lines and surfaces
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Narasimham

Posts: 350
Registered: 9/16/06
Re: Differential geometry lines and surfaces
Posted: Jun 4, 2014 11:39 AM
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> Here are lots of difference surfaces found in the url
> you given. Little bit confused with them.


Hi Jack,

There is one pseudospherical surface of revolution only and on them are super-imposed thickened tubular lines as geodesics and closely packed orthogonal trajectories that I call involutes. They are rotational copies, even if they appear to be one too many.

In literature heard that Hadamard investigated them a century ago, however seem not too complicated.

Regards
Narasimham



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