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nlin.SI2026
The Nakamura Conjecture Revisited: Toda Molecules and Stationary Axisymmetric Gravity
Takeshi Fukuyama
We revisit the Nakamura conjecture, which relates the Tomimatsu-Sato solutions of stationary axisymmetric gravity to finite Toda molecules. While the conjecture has been establishe…
nlin.SI2026
Reduced Trilinear Reformulation of the Nakamura Conjecture
Takeshi Fukuyama
The Tomimatsu--Sato (TS) family, characterized by the rotation parameter and the TS index provides an important class of exact stationary axisymmetric vacuum solutions o…