13 citations · 19 across the 9 of their papers we have counts for
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math.DG2012
Rank two prolongations of second-order PDE and geometric singular solutions
Takahiro Noda, Kazuhiro Shibuya
In this present paper, we study geometric structures of rank two prolongations of implicit second-order partial differential equations (PDEs) for two independent and one dependent…
math.DG2012
On the existence of Generalized Unicorns on Surfaces
S. V. Sabau, K. Shibuya, H. Shimada
This paper addresses the problem of existence of generalized Landsberg structures on surfaces using the Cartan-Kähler Theorem and a Path Geometry approach.
math.DG2012
Generalized Finsler structures on closed 3-manifolds
Sorin V. Sabau, Kazuhiro Shibuya, Gheorghe Pitis
An (I,J,K)-generalized Finsler structure on a 3-manifold is a generalization of a Finslerian structure, introduced in order to separate and clarify the local and global aspects in…