# Fundamental euclidean pathwise minimizing eigenproperties

**Authors:** Dmitry Zhigalov

arXiv: 1902.02145 · 2019-07-23

## TL;DR

This paper identifies a family of Euclidean differential operators with unique eigenproperties that relate to the fundamental structures of minimal surfaces and contribute to the proof of the Nitsche conjecture.

## Contribution

It introduces a new family of differential operators with special eigenproperties linked to minimal surface theory and the Nitsche conjecture.

## Key findings

- Identification of a family of Euclidean differential operators with unique eigenproperties
- Connection between these operators and the fundamental structures of minimal surfaces
- Contribution to the proof of the Nitsche conjecture

## Abstract

The paper discovers the family of identically-derived Euclidean one-parameter even-dimensional differential linear operators with unique eigenproperties, which prove to be inherently related to the emergent characterizations of fundamental building blocks of embedded minimal surfaces and the Nitsche conjecture proof.

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Source: https://tomesphere.com/paper/1902.02145