Publications

S. Akamine, A. Honda, M. Umehara, K. Yamada:

Null hypersurfaces as wave fronts in Lorentz-Minkowski space

preprint

[arXiv]

A. Honda, H. Sato:

Singularities of spacelike mean curvature one surfaces in de Sitter space

preprint

[arXiv]

A. Honda:

Isometric deformations of mixed type surfaces in Lorentz-Minkowski space

preprint

[arXiv]

A. Honda:

Behavior of torsion functions of spacelike curves in Lorentz-Minkowski space

preprint

[arXiv]

A. Honda: 

Isometric immersions of the hyperbolic plane into the hyperbolic space

Tohoku Mathematical Journal. Second Series 64 (2012)

[DOI]    [arXiv]

Non-convex anisotropic surface energy and zero mean curvature surfaces in the Lorentz-Minkowski space

Journal of Math-for-Industry 5 (2013)

[Web]

A. Honda: 

Note on the space of oriented geodesics in the three-sphere

RIMS Kôkyûroku Bessatsu 38 (2013)

[Web]

Intrinsic invariants of cross caps

Selecta Mathematica. New Series 20 (2014)

[DOI]    [arXiv]

A. Honda, S. Izumiya:

The lightlike geometry of marginally trapped surfaces in Minkowski space-time

Journal of Geometry 106 (2015)

[DOI]    [arXiv]

M. Hasegawa, A. Honda, K. Naokawa, K. Saji, M. Umehara, K. Yamada:

Intrinsic properties of surfaces with singularities

International Journal of Mathematics 26 (2015)

[DOI]    [arXiv]

A. Honda:

Weakly complete wave fronts with one principal curvature constant

Kyushu Journal of Mathematics 70 (2016)

[DOI]

A. Honda:

On associate families of spacelike Delaunay surfaces

Contemporary Mathematics, vol. 675, 2016

[DOI]

U. Hertrich-Jeromin, A. Honda:

Minimal Darboux transformations

Beitrage zur Algebra und Geometrie 58 (2017)

[DOI]    [arXiv]

A. Honda, M. Koiso, M. Kokubu, M. Umehara, K. Yamada:

Mixed type surfaces with bounded mean curvature in 3-dimensional space-times

Differential Geometry and its Applications 52 (2017)

[DOI]    [arXiv]

A. Honda:

Isometric immersions with singularities between space forms of the same positive curvature

Journal of Geometric Analysis 27 (2017)

[DOI]    [arXiv]

A. Honda:

Duality of singularities for spacelike CMC surfaces

Kobe Journal of Mathematics 34 (2017)

[Web]

A. Honda:

Complete flat fronts as hypersurfaces in Euclidean space

Proceedings of the Japan Academy. Series A 94 (2018)

[DOI]    [arXiv]

A. Honda, M. Koiso, K. Saji:

Fold singularities on spacelike CMC surfaces in Lorentz-Minkowski space

Hokkaido Mathematical Journal 47 (2018)

[DOI]    [arXiv]

A. Honda, K. Naokawa, M. Umehara, K. Yamada:

Isometric realization of cross caps as formal power series and its applications

Hokkaido Mathematical Journal 48 (2019)

[DOI]    [arXiv]

A. Honda, K. Saji:

Geometric invariants of 5/2-cuspidal edges

Kodai Mathematical Journal 42 (2019)

[DOI]    [arXiv]

A. Honda:

Duality of singularities for flat surfaces in Euclidean space

Journal of Singularities 21 (2020)

[DOI]

A. Honda, K. Saji, K. Teramoto:

Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds

Advances in Mathematics 365 (2020)

[DOI]    [arXiv]

A. Honda, K. Naokawa, K. Saji, M. Umehara, K. Yamada:

Cuspidal edges with the same first fundamental forms along a knot

Journal of Knot Theory and Its Ramifications 29 (2020)

[DOI]    [arXiv]

S. Akamine, A. Honda, M. Umehara, K. Yamada:

Null hypersurfaces in Lorentzian manifolds with the null energy condition

Journal of Geometry and Physics 155 (2020)

[DOI]    [arXiv]

A. Honda, K. Naokawa, K. Saji, M. Umehara, K. Yamada:

Duality on generalized cuspidal edges preserving singular set images and first fundamental forms

Journal of Singularities 22 (2020)

[DOI]    [arXiv]

A. Honda, K. Naokawa, K. Saji, M. Umehara, K. Yamada:

Curved foldings with common creases and crease patterns

Advances in Applied Mathematics 121 (2020)

[DOI]    [arXiv]

A. Honda, K. Naokawa, M. Umehara, K. Yamada:

Isometric deformations of wave fronts at non-degenerate singular points

Hiroshima Mathematical Journal 50 (2020)

[DOI]    [arXiv]

S. Akamine, A. Honda, M. Umehara, K. Yamada:

Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz–Minkowski space

Bull Braz Math Soc, New Series 52 (2021)

[DOI]    [arXiv]

Heinz-type mean curvature estimates in Lorentz-Minkowski space

Revista Matematica Complutense 34 (2021)

 [arXiv]    [DOI]

Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint

Tsukuba Journal of Mathematics 45 (2021)

[DOI]   [arXiv]

On the existence of four or more curved foldings with common creases and crease patterns

Beitrage zur Algebra und Geometrie (2021)

[DOI]   [arXiv]

A generalization of Zakalyukin's lemma, and symmetries of surface singularities

Journal of Singularities 25 (2022)

[DOI]    [arXiv]

Symmetries of cross caps

Tohoku Mathematical Journal 75 (2023)

[DOI]    [arXiv]