Search Results - "SAJI, Kentaro"

Singularities of Singular Solutions of First-Order Differential Equations of Clairaut Type by Saji, Kentaro, Takahashi, Masatomo

“…A first-order differential equation of Clairaut type has a family of classical solutions, and a singular solution when the contact singular set is not empty…”
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Criteria for sharksfin and deltoid singularities from the plane into the plane and their applications by Kabata, Yutaro, Saji, Kentaro

“…We give criteria for sharksfin and deltoid singularities from the plane into the plane. We also give geometric meanings for the conditions in the criterion of…”
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Behavior of principal curvatures of frontals near non-front singular points and their applications by Saji, Kentaro, Teramoto, Keisuke

“…We investigate behavior of principal curvatures and principal vectors near a non-degenerate singular point of the first kind of frontals. As an application, we…”
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Geometry of bifurcation sets of generic unfoldings of corank two functions by Saji, Kentaro, dos Santos, Samuel Paulino

“…We study the geometry of bifurcation sets of generic unfoldings of D 4 ± -functions. Taking blow-ups, we show each of the bifurcation sets of D 4 ± -functions…”
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Dualities of Differential Geometric Invariants on Cuspidal Edges on Flat Fronts in the Hyperbolic Space and the de Sitter Space by Saji, Kentaro, Teramoto, Keisuke

“…We compute the differential geometric invariants of cuspidal edges on flat surfaces in hyperbolic 3-space and in de Sitter space. Several dualities of…”
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Capturing information on curves and surfaces from their projected images by Hasegawa, Masaru, Kabata, Yutaro, Saji, Kentaro

“…Obtaining complete information about the shape of an object by looking at it from a single direction is impossible in general. In this paper, we theoretically…”
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Singular surfaces of revolution with prescribed unbounded mean curvature by Luciana F, Martins, Saji, Kentaro, Santos, Samuel P Dos, Teramoto, Keisuke

“…We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using this mean curvature, we give conditions for…”
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Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space by Martins, Luciana F., Saji, Kentaro, Teramoto, Keisuke

“…We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature…”
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Singularities of flat fronts in hyperbolic space by KOKUBU, Masatoshi, ROSSMAN, Wayne, SAJI, Kentaro, UMEHARA, Masaaki, YAMADA, Kotaro

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Anti de Sitter horospherical flat timelike surfaces by Chen, Liang, Izumiya, Shyuichi, Pei, DongHe, Saji, Kentaro

“…We investigate a special timelike surfaces in Anti de Sitter 3-space.We call such a timelike surface an Anti de Sitter horospherical flat surface which belongs…”
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Legendrian dual surfaces of a spacelike curve in the 3-dimensional lightcone by Saji, Kentaro, Yıldırım, Handan

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The Geometry of Fronts by Saji, Kentaro, Umehara, Masaaki, Yamada, Kotaro

“…We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the…”
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Contact Cylindrical Surfaces and a Projection of a Surface Around a Parabolic Point by Hasegawa, Masaru, Kabata, Yutaro, Saji, Kentaro

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Singularities of maximal surfaces by Fujimori, Shoichi, Saji, Kentaro, Umehara, Masaaki, Yamada, Kotaro

“…We show that the singularities of spacelike maximal surfaces in Lorentz–Minkowski 3-space generically consist of cuspidal edges, swallowtails and cuspidal…”
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Boundedness of geometric invariants near a singularity which is a suspension of a singular curve by Martins, Luciana F., Saji, Kentaro, dos Santos, Samuel P., Teramoto, Keisuke

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Normal form of D4-plus singularities of fronts and its applications by Saji, Kentaro

“…We construct a form of the $D_4^+$-singularity of fronts in $R^3$ which uses coordinate transformation on the source and isometry on the target. As an…”
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Addendum: Singularities of flat fronts in hyperbolic space by Kokubu, Masatoshi, Rossman, Wayne, Saji, Kentaro, Umehara, Masaaki, Yamada, Kotaro

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Proceedings of the 17th International Workshop on Real and Complex Singularities by dos Santos, Raimundo Nonato Araújo, Rezende, Alex Carlucci, Ohmoto, Toru, Saji, Kentaro

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On the geometry of folded cuspidal edges by Oset Sinha, Raúl, Saji, Kentaro

“…We study the geometry of cuspidal S k singularities in R 3 obtained by folding generically a cuspidal edge. In particular we study the geometry of the cuspidal…”
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Great circular surfaces in the three-sphere by Izumiya, Shyuichi, Nagai, Takayuki, Saji, Kentaro

“…In this paper, we consider a special class of the surfaces in the 3-sphere defined by one-parameter families of great circles. We give a generic classification…”
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