In differential geometry, a breather surface is a one-parameter family of mathematical surfaces which correspond to breather solutions of the sine-Gordon equation, a differential equation appearing in theoretical physics. The surfaces have the remarkable property that they have constant curvature − 1 {\displaystyle -1} , where the curvature is well-defined.
In differential geometry, a breather surface is a one-parameter family of mathematical surfaces which correspond to breather solutions of the sine-Gordon equation, a differential equation appearing in theoretical physics. The surfaces have the remarkable property that they have constant curvature − 1 {\displaystyle -1} , where the curvature is well-defined.
Source: Wikipedia "Breather surface" · CC BY-SA 4.0
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