The rigidity of biconservative surfaces in Sol3
Dorel Fetcu
TL;DR
This paper investigates biconservative surfaces in Sol3, deriving their local equations, and demonstrates that all biharmonic surfaces in this space are actually minimal surfaces.
Contribution
It provides the first characterization of biconservative surfaces in Sol3 and proves that biharmonic surfaces in this space are necessarily minimal.
Findings
All biharmonic surfaces in Sol3 are minimal.
Derived local equations for biconservative surfaces in Sol3.
Abstract
We consider biconservative surfaces in Sol3, find their local equations, and then show that all biharmonic surfaces in this space are minimal.
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Taxonomy
TopicsSupramolecular Self-Assembly in Materials · Advanced Physical and Chemical Molecular Interactions · Aerogels and thermal insulation