On the height function of the affine minimal translation surfaces

2020/03/06 by Mohamd Saleem Lone, Lone, Mohamd Saleem
Computer Science · Physics and Astronomy · #11B75 #58A99 #Advanced Mathematical Theories and Applications #Bayesian Methods and Mixture Models #Differential Geometry (math.DG) #FOS: Mathematics #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.2003.05277

openalex publication_date 2020/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, using the Weierstrass-Enneper formula and the hodographic coordinate system, we find the relationships between the Ramanujan identity and the generalized class of Scherk surfaces known as affine Scherk surfaces. We find the Dirichlet series expansion of the affine Scherk surface. We also obtain some of the probability measures of affine Scherk surface with respect to its logarithmic distribution. Next, we classify the affine minimal translation surfaces in \mathbbL³ and remarked the analogous forms in \mathbbL³.

Related

• Decomposition of the Height Function of Scherk's First Surface
• Finite Decomposition of Minimal surfaces, Maximal surfaces, Timelike\n Minimal surfaces and Born-Infeld solitons
• On Euler-Ramanujan formula, Dirichlet series and minimal surfaces
• The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface
• Ramanujan's identities, minimal surfaces and solitons