Differential equations | Surfaces

Breather surface

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 , where the curvature is well-defined. This makes them examples of generalized pseudospheres. (Wikipedia).

Breather surface
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Related pages

First fundamental form | Metric tensor | Constant curvature | Three-dimensional space | Differential geometry | Embedding | Pseudosphere | Dini's surface | Sine-Gordon equation | Second fundamental form