Minimal surfaces and the new main inequality

[en] We establish the new main inequality as a minimizing criterion for minimal maps to products of $\mathbb{R}$-trees, and the infinitesimal new main inequality as a stability criterion for minimal maps to $\mathbb{R}^n$. Along the way, we develop a new perspective on destabilizing minimal surfaces in $\mathbb{R}^n$, and as a consequence we reprove the instability of some classical minimal surfaces; for example, the Enneper surface.

Disciplines :

Mathematics

Author, co-author :

Markovic, Vladimir

SAGMAN, Nathaniel ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

yes

Language :

English

Title :

Minimal surfaces and the new main inequality

Publication date :

01 March 2024

Journal title :

Annales Fennici Mathematici

ISSN :

2737-0690

eISSN :

2737-114X

Publisher :

Finnish mathematical society, Helsinki, Finland

Peer reviewed :

Peer Reviewed verified by ORBi

Data Set :

https://arxiv.org/abs/2301.00249

Available on ORBilu :

since 29 November 2023

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Bibliography

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