8 citations · 21 across the 13 of their papers we have counts for
16 papers
Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint
Atsufumi Honda, Shyuichi Izumiya, Kentaro Saji +1
A surface in the Lorentz-Minkowski -space is generally a mixed type surface, namely, it has the lightlike locus. We study local differential geometric properties of such a locus…
Unimodular families of symmetric matrices
Wojciech Domitrz, Shyuichi Izumiya, Hiroshi Teramoto
We introduce the volume-preserving equivalence among symmetric matrix-valued map-germs which is the unimodular version of Bruce's -equivalence. The key concept to dedu…
Primitivoids and inversions of plane curves
Shyuichi Izumiya, Nobuko Takeuchi
The pedal of a curve in the Euclidean plane is a classical subject which has a singular point at the inflection point of the original curve. The primitive of a curve is a curve giv…
Pedals and inversions of quadratic curves
Shyuichi Izumiya, Nobuko Takeuchi
The pedal of a curve in the Euclidean plane is a classical subject which has a singular point at the inflection point of the original curve or the pedal point. The primitive of a c…
Geometric equivalence among smooth map germs
Shyuichi Izumiya, Masatomo Takahashi, Hiroshi Teramoto
We consider equivalence relations among smooth map germs with respect to geometry of G-structures on the target space germ. These equivalence relations are natural generalization o…
Curves in a spacelike hypersurface in the Minkowski space-time
Shyuichi Izumiya, Ana Claudia Nabarro, Andrea de Jesus Sacramento
Submanifolds in Lorentz-Minkowski space are investigated from various mathematical viewpoints and are of interest also in relativity theory. We define the hyperbolic surface and th…