A classification of constant Gaussian curvature surfaces in the three-dimensional hyperbolic space

Autor:	Inoguchi, Junichi, Kobayashi, Shimpei
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Primary 53C42 58D10 Secondary 53C43 53A10
Druh dokumentu:	Working Paper
Popis:	Weakly complete constant Gaussian curvature $-1-1$ but $K \neq 0$ by using harmonicities of Lagrangian and Legendrian Gauss maps. Then we will show that a spectral parameter deformation of the Lagrangian harmonic Gauss map gives a harmonic map into $\mathbb H^2$ for $-1< K<0$ or $\mathbb S^2$ for $K>0$, respectively.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.08235 Zobrazit plný text záznamu View this record from Arxiv