Examples
- Eikonal equation
The simplest fully nonlinear equation is the eikonal equation. This has the form
so that the function F is given by
The dual cone consists of 1-forms adx+bdy+cdz satisfying
Taken projectively, this defines a circle. The dual curve is also a circle, and so the Monge cone at each point is a proper cone.
Read more about this topic: Monge Cone
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