This is the classical
pseudosphere model of Beltrami (see Figure 3).
Benedicte Gyldenstierne Sehested's slumped figures joined Mariechen Danz's
pseudosphere in confronting two fantastical "beings" from the mind of Mark Barker.
The (2 + 1)D spacetime [S.sub.(1]) is identified with the orbit of the origin of the spacetime O = ([s.sub.3], [s.sub.[mu]]) = (1,0,0,0) which is contained in the
pseudosphere provided by [I.sub.(1)]:
The profile is known as
pseudosphere, with negative Gaussian curvature, in agreement with results reported before (FRANK; KARDAR, 2008).
The curves lying on a
pseudosphere [S.sup.2.sub.1] in Minkowski 3-space [E.sup.3.sub.1] are characterized in [8].
Actually, we will show the de Sitter
pseudosphere, the hyperbolic
pseudosphere, and five kinds of catenoid satisfying the above condition.
(ii) [alpha] lies in a
pseudosphere [S.sup.3.sub.1](r), r [member of] [R.sup.+.sub.0];
It was actually a case of a geographical map, a mappa mundi of the non-Euclidean universe, immediately followed by simpler models of the same kind, eliminating certain distinctive characteristics and limitations of Beltrami's
pseudosphere, constructed by Felix Klein and Henri Poincare.
[1998] give a simple round-by-round construction that unifies the synchronous, semi-synchronous, and asynchronous message-passing models of distributed computation within a common formalism based on a topological construction called a
pseudosphere.
He simply cut a series of "latitude" and "longitude" circles out of plywood and built a
pseudosphere 231/2 inches in diameter.
On the other hand, the system on the two-sphere or on the
pseudosphere is related to some interesting generalizations of the planar Landau level problems [31, 32].