3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DG2014
The lightlike geometry of marginally trapped surfaces in Minkowski space-time
Atsufumi Honda, Shyuichi Izumiya
The lightlike geometry of codimension two spacelike submanifolds in Lorentz-Minkowski space has been developed in [Izumiya, S. and Romero Fuster, M. C. Selecta Mathematica (NS), 13…
math.DG2014★ 3 cited
Geometry of world sheets in Lorentz-Minkowski space
Shyuichi Izumiya
A world sheet in Lorentz-Minkowski space is a timelike submanifold consisting of a one-parameter family of spacelike submanifolds in Lorentz-Minkowski space. In this paper we inves…
math.DG2014
Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space
Shyuichi Izumiya
We introduce the totally absolute lightcone curvature for a spacelike submanifold with general codimension and investigate global properties of this curvature. One of the consequen…