Equivalence shown between magnetic Brunn-Minkowski inequalities for geodesic interpolation and magnetic Ricci curvature lower bounds, plus sharp example on Heisenberg group.
Electromagnetic curvature via Jacobi-Maupertuis and beyond.arXiv preprint
2 Pith papers cite this work. Polarity classification is still indexing.
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The authors introduce an electromagnetic curvature criterion for linear stability of relative equilibria in the planar n-body problem, recovering Routh's criterion for three bodies and providing an instability test when dynamics split into symplectic planes.
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Magnetic Brunn-Minkowski inequalities
Equivalence shown between magnetic Brunn-Minkowski inequalities for geodesic interpolation and magnetic Ricci curvature lower bounds, plus sharp example on Heisenberg group.
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Relative equilibria, linear stability and electromagnetic curvature
The authors introduce an electromagnetic curvature criterion for linear stability of relative equilibria in the planar n-body problem, recovering Routh's criterion for three bodies and providing an instability test when dynamics split into symplectic planes.