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math.DG2013★ 8 cited
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Atsushi Fujioka, Takashi Kurose
Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Mult…
math.DG2005★ 7 cited
Timelike surfaces with harmonic inverse mean curvature
Atsushi Fujioka, Jun-ichi Inoguchi
In this paper we introduce the notion of timelike surface with harmonic inverse mean curvature in 3-dimensional Lorentzian space forms, and study their fundamental properties.
math.DG2005
Deformations of surfaces preserving conformal or similarity invariants
Atsushi Fujioka, Jun-ichi Inoguchi
In this paper we study Moebius applicable surfaces, i.e., conformally immersed surfaces in Moebius 3-space which admit deformations preserving the Moebius metric. We show new chara…