constant mean curvature 1darboux integrability 1elliptic liouville equation 1group theory 1hyperbolic 3-space 1partial differential equations 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.DG2026
On the Darboux Integrability of the Constant Mean Curvature One Equation for Surfaces in Hyperbolic 3 space
Mark E. Fels, Thomas A. Ivey
The paper proves that the elliptic PDE system governing constant mean curvature one immersions in hyperbolic 3‑space is Darboux integrable and equivalent to the elliptic Liouville…
math.DG2026
The Geometry of Darboux Integrable Elliptic Systems
Mark E. Fels, Thomas A. Ivey
We characterize real elliptic differential systems whose solutions can be expressed in terms of holomorphic solutions to an associated holomorphic Pfaffian system on a…