TL;DR
This paper introduces a new Tzitzeica hypersurface, providing its parametric, implicit, and explicit forms, and visualizes its two-dimensional case using Matlab, contributing to geometric surface theory.
Contribution
It presents a novel Tzitzeica hypersurface with comprehensive mathematical descriptions and visualizations, expanding the class of known Tzitzeica surfaces.
Findings
New Tzitzeica hypersurface derived in multiple forms
Explicit visualization of the 2D case using Matlab
Enhances understanding of Tzitzeica surface properties
Abstract
A new hypersurface of Tzitzeica type is obtained in all three forms: parametric, implicit and explicit. Its two-dimensional version, although well-known from a theoretical point of view, is plotted with Matlab.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Topics in Algebra · Geometric Analysis and Curvature Flows