TL;DR
This paper constructs a symmetric minimal surface called a vase of catenoids, featuring both planar and catenoid ends, contributing to the understanding of complex minimal surface configurations.
Contribution
It introduces a new symmetric immersed minimal surface, expanding the class of known minimal surfaces with combined planar and catenoid ends.
Findings
Successfully constructs a vase of catenoids with specified end types.
Demonstrates symmetry and immersion properties of the surface.
Provides insights into the geometric structure of complex minimal surfaces.
Abstract
In this note we construct a vase of catenoids - a symmetric immersed minimal surface with planar and catenoid ends.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematics and Applications · Advanced Theoretical and Applied Studies in Material Sciences and Geometry