86 citations · 1.3k across the 50 of their papers we have counts for
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hep-th1996★ 10 cited
Differential Geometry of the Vortex Filament Equation
Yukinori Yasui, Norihito Sasaki
Differential calculus on the space of asymptotically linear curves is developed. The calculus is applied to the vortex filament equation in its Hamiltonian description. The recursi…
hep-th1996★ 10 cited
Applications of the Ashtekar gravity to four dimensional hyperkähler geometry and Yang-Mills Instantons
Y. Hashimoto, Y. Yasui, S. Miyagi +1
The Ashtekar-Mason-Newman equations are used to construct the hyperkähler metrics on four dimensional manifolds. These equations are closely related to anti self-dual Yang-Mills eq…