On nonlinear equations associated with developable, ruled and minimal surfaces
V.Dryuma
TL;DR
This paper constructs solutions to nonlinear differential equations linked to developable, ruled, and minimal surfaces, advancing understanding of their mathematical properties.
Contribution
It provides explicit solutions to nonlinear equations related to specific surface types, a novel contribution to differential geometry.
Findings
Explicit solutions for developable surface equations
Solutions for ruled surface equations
Solutions for minimal surface equations
Abstract
An examples of solutions of nonlinear differential equations associated with developable, ruled and minimal surfaces are constructed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals