Prefer a chat interface with context about you and your work?
Real analytic complete non-compact surfaces in Euclidean space with finite total curvature arising as solutions to ODEs
We use the solution space of a pair of ODEs of at least second order to construct a smooth surface in Euclidean space. We describe when this surface is a proper embedding which is geodesically complete with finite total Gauss curvature. If the associated roots of the ODEs are real …