10 citations · 45 across the 27 of their papers we have counts for
8 papers · 1 filter
On the existence of four or more curved foldings with common creases and crease patterns
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Consider an oriented curve in a domain in the plane . Thinking of as a piece of paper, one can make a curved folding in the Euclidean space $\boldsymbo…
Null hypersurfaces in Lorentzian manifolds with the null energy condition
Shintaro Akamine, Atsufumi Honda, Masaaki Umehara +1
Let be a light-like geodesically complete Lorentzian -manifold satisfying the null energy condition. We show that null hypersurfaces properly immersed in $M^{n+1…
Curved foldings with common creases and crease patterns
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Consider a curve in a domain in the plane . Thinking of as a piece of paper, one can make a curved folding in the Euclidean space …
Isometric deformations of mixed type surfaces in Lorentz-Minkowski space
Atsufumi Honda
A connected regular surface in Lorentz-Minkowski 3-space is called a mixed type surface if the spacelike, timelike and lightlike point sets are all non-empty. Lightlike points on m…
Cuspidal edges with the same first fundamental forms along a knot
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Letting be a compact -curve embedded in ( means real analyticity), we consider a -cuspidal edge along . When is non-closed, in the a…
Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space
Shintaro Akamine, Atsufumi Honda, Masaaki Umehara +1
Calabi and Cheng-Yau's Bernstein-type theorem asserts that an entire zero mean curvature graph in Lorentz-Minkowski -space which admits only space-li…
Duality on generalized cuspidal edges preserving singular set images and first fundamental forms
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
In the second, fourth and fifth authors' previous work, a duality on generic real analytic cuspidal edges in the Euclidean 3-space preserving their singular set i…
Behavior of torsion functions of spacelike curves in Lorentz-Minkowski space
Atsufumi Honda
In this paper, we introduce the pseudo-torsion functions along spacelike curves whose curvature vector field has isolated lightlike points in Lorentz-Minkowski 3-space, and prove t…