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Re: Differential geometry lines and surfaces
Posted:
Jun 4, 2014 11:39 AM


> 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 superimposed 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



