Strict stability of calibrated cones
Bryan Dimler, Jooho Lee

TL;DR
This paper investigates the stability properties of calibrated cones with isolated singularities, establishing strict stability for certain classes and providing examples of non-strict stability in others.
Contribution
It proves strict stability for special Lagrangian and coassociative cones and presents non-strictly stable examples in the complex case.
Findings
Strict stability of special Lagrangian cones
Strict stability of coassociative cones
Existence of non-strictly stable complex cones
Abstract
We study the strict stability of calibrated cones with an isolated singularity. For special Lagrangian cones and coassociative cones, we prove the strict stability. In the complex case, we give non-strictly stable examples.
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Taxonomy
TopicsAdvanced Control Systems Optimization · Dynamics and Control of Mechanical Systems · Robotic Mechanisms and Dynamics
