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math-ph2025
On a class of third order differential equations describing pseudospherical or spherical surfaces
Mingyue Guo, Jing Kang, Zhenhua Shi +1
In this paper, we study third order nonlinear partial differential equations which describe surfaces of constant curvature. From the flatness of connection 1-forms, we present a cl…
math-ph2025
Local isometric immersions of pseudospherical surfaces described by a class of third order partial differential equations
Mingyue Guo, Zhenhua Shi
In this paper, we study the problem of local isometric immersion of pseudospherical surfaces determined by the solutions of a class of third order nonlinear partial differential eq…
math.DG2025
Local isometric immersions of pseudospherical surfaces described by a class of third order differential equations
Mingyue Guo, Zhenhua Shi
We discuss a specific type of pseudospherical surfaces defined by a class of third order differential equations, of the form , and…