-
Masaaki Umehara and Kotaro Yamada,
Hypersurfaces with light-like points in a Lorentzian Manifold,
-
Masatoshi Kokubu, Wayne Rossman, Kentaro Saji,
Masaaki Umehara and Kotaro Yamada
Addendum: Singularities of flat fronts in hyperbolic space
-
Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu,
Masaaki Umehara and Kotaro Yamada,
Quadrics and Scherk towers
-
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman,
Masaaki Umehara and Kotaro Yamada,
Analytic extension of Jorge-Meeks type maximal surfaces in
Lorentz-Minkowski 3-space,
-
Masaaki Umehara and Kotaro Yamada,
Surfaces with light-like points in Lorentz-Minkowski 3-space
with applications,
in "Lorentzian Geometry and Related Topics",
M. A. Cañados-Pinedo et. al. ed.,
pages 253--273,
Springer Proceedings in Mathematics & Statistics, volume 211, 2017.
-
Atsufumi Honda, Miyuki Koiso, Masatoshi Kokubu, Masaaki Umehara
and Kotaro Yamada
Mixed type surfaces with bounded mean curvature in 3-dimensional
space-times,
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada
An index formula for hypersurfaces which admit only
generic corank one singularities
-
Shoichi Fujimori,
Yu Kawakami, Masatoshi Kokubu,
Wayne Rossman, Masaaki Umehara and Kotaro Yamada
Entire zero mean curvature graphs of mixed type in
Lorentz-Minkowski 3-space
-
Kosuke Naokawa, Masaaki Umehara and Kotaro Yamada
Isometric deformations of cuspidal edges
-
Luciana F. Martins, Kentaro Saji, Masaaki Umehara and Kotaro Yamada
Behavior of Gaussian curvature near non-degenerate
singular points on wave fronts
in "Geometry and Topology of Manifolds",
A. Futaki et. al. ed.,
pages 247--281,
Springer Proceedings in Mathematics & Statistics, volume 154, 2016.
DOI 10.1007/978-4-431-56021-0_14
-
Masaru Hasegawa, Atsufumi Honda,
Kosuke Naokawa, Kentaro Saji, Masaaki Umehara
and Kotaro Yamada
Intrinsic properties of surfaces with singularities
-
Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh,
Wayne Rossman, Heayong Shin,
Masaaki Umehara, Kotaro Yamada, Seong-Deog Yang
Zero mean curvature surfaces in Lorentz-Minkowki 3-space which
change
type across a light-like line
Erratum to the article
"Zero mean curvature surfaces in Lorentz-Minkowki 3-space which
change
type across a light-like line"
Osaka Journal of Mathematics, volue 53 (2016), 289--293.
-
Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh,
Wayne Rossman, Heayong Shin,
Masaaki Umehara, Kotaro Yamada, Seong-Deog Yang
Zero mean curvature surfaces in Lorentz-Minkowski 3-space
and 2-dimensional fluid mechanics
-
Udo Hertrich-Jeromin,
Yoshihiko Suyama,
Masaaki Umehara
and Kotaro Yamada
A duality for conformally flat hypersurfaces
Beiträge zur Algebra und Geometrie/
Contribution to Algebra and Geometry,
2014,
DOI 10.1007/s13366-014-0225-3.
-
Shoichi Fujimori,
Wayne Rossman,
Masaaki Umehara, Kotaro Yamada, Seong-Deog Yang
Embedded triply periodic zero mean curvature surfaces of
mixed type in Lorentz-Minkowski 3-space
Michigan Mathematical Journal,
volume 63, 2014, 189--207.
-
Masaru Hasegawa, Atsufumi Honda,
Kosuke Naokawa, Masaaki Umehara and Kotaro Yamada
Intrinsic invariants of cross caps
Selecta Mathematica,
volume 20, Issue 3 (2014), 769--785
-
Francisco Martín, Masaaki Umehara and Kotaro Yamada,
Flat surfaces in hyperbolic 3-space whose hyperbolic
Gauss maps are bounded
Revista Matemática Iberoamericana,
30 (2014), 309--316.
-
Leonor Ferrer, Francisco Martín, Masaaki Umehara and Kotaro Yamada,
A construction of a complete bounded null curve in
C3
Kodai Mathematical Journal, 37 (2014), 59--96.
-
Shoichi Fujimori, Yu Kawakami,
Masatoshi Kokubu, Wayne Rossman,
Masaaki Umehara and Kotaro Yamada
Hyperbolic metrics on Riemann surfaces and
space-like CMC-1 Surfaces in de Sitter 3-Space
in
"Recent Trends in Lorentzian Geometry",
M. Sánchez et al. (eds.),
Springer Proceedings in Mathematics & Statistics 26,
pages 1--47, 2013.
-
Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh,
Wayne Rossman, Heayong Shin, Hidenobu Takahashi,
Masaaki Umehara, Kotaro Yamada, Seong-Deog Yang
Zero mean curvature surfaces in L3
containing a light-like line
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts
-
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu,
Wayne Rossman, Masaaki Umehara and Kotaro Yamada,
CMC-1 trinoids in H3 and metrics of constant curvature
one with conical singularities on S2,
Proceedings of Japan Academy, vol. 87, Ser. A (2011),
144--149.
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
A2-singularities of hypersurfaces with
non-negative sectional curvature
in Euclidean space
-
Masaaki Umehara and Kotaro Yamada,
Applications of a completeness lemma in minimal surface theory to
various classes of surfaces
Bulletin of the London Mathematical Society,
vol. 43 (2011), 191--199.
Corrigendum:
Applications of a completeness lemma in minimal surface theory to
various classes of surfaces
Bulletin of the London Mathematical Society,
vol. 44 (2012), 617--618.
-
Huili Liu, Masaaki Umehara and Kotaro Yamada,
The duality of conformally flat manifolds
Bulletin of the Brasilian Mathematical Society (N. S.),
vol. 42 (2011), 131--152.
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
The duality between singular points and inflection points on
wave fronts,
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
Singularities of Blaschke normal maps of convex surfaces
-
Shoichi Fujimori, Wayne Rossman, Masaaki Umehara,
Kotaro Yamada and Seog-Deong Yang,
New maximal surfaces in Minkowski 3-space with arbitrary genus
and their cousins in de Sitter 3-space
-
Shoichi Fujimori, Wayne Rossman, Masaaki Umehara,
Kotaro Yamada and Seog-Deong Yang,
Spacelike mean curvature one surfaces in de Sitter 3-space,
-
Francisco Martín, Masaaki Umehara and Kotaro Yamada,
Complete bounded holomorphic curves immersed in
C2 with arbitrary genus,
-
Francisco Martín, Masaaki Umehara and Kotaro Yamada,
Complete bounded null curves immersed in C3
and SL(2,C),
Erratum to:
Complete bounded null curves immersed in C3
and SL(2,C),
Leonor Ferrer, Francisco Martín, Masaaki Umehara and Kotaro Yamada,
A construction of a complete bounded null curve in C3,
-
Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara and
Kotaro Yamada,
Asymptotic behavior of flat surfaces in hyperbolic
3-space,
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
Ak singularities of wave fronts,
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
The geometry of fronts,
-
Kentaro Saji, Masaaki Umehara and Kotaro Yamada,
Behavior of corank one singular points on wave fronts,
-
Takeshi Sasaki, Kotaro Yamada and Masaaki Yoshida,
Hyperbolic Schwarz map for the hypergeometric differential
equation,
-
Takeshi Sasaki, Kotaro Yamada and Masaaki Yoshida,
Derived Schwarz map of the hypergeometric differential equation
and a parallel family of flat fronts,
-
Masayuki Noro, Takeshi Sasaki, Kotaro Yamada and Masaaki Yoshida,
Confluence of swallowtail singularities of
the hyperbolic Schwarz map defined by
the hypergeometric differential equation,
-
Shoichi Fujimori, Kentaro Saji, Masaaki Umehara and
Kotaro Yamada,
Singularities of maximal surfaces,
-
Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara and
Kotaro Yamada,
Flat fronts in hyperbolic 3-space and their caustics,
-
Masaaki Umehara and Kotaro Yamada,
Maximal surfaces with singularities in Minkowski space,
-
Masatoshi Kokubu, Wayne Rossman, Kentaro Saji, Masaaki Umehara and
Kotaro Yamada,
Singularities of flat fronts in hyperbolic 3-space,
-
Wayne Rossman, Masaaki Umehara and Kotaro Yamada,
Constructing mean curvature 1 surfaces in
H3 with irregular ends,
in "Global theory of minimal surfaces", pp. 561--584,
Clay Math. Proc., 2, Amer. Math. Soc., 2005.
-
Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada,
Flat fronts in hyperbolic 3-space,
-
Wayne Rossman, Masaaki Umehara and Kotaro Yamada,
Mean curvature 1 surfaces in hyperbolic
3-space with low total curvature I,
-
Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada,
An elementary proof of Small's formula
for null curves in PSL(2,C) and
an analogue for Legendrian curves in
PSL(2,C),
-
Wayne Rossman, Masaaki Umehara and Kotaro Yamada,
Mean curvature 1 surfaces in hyperbolic
3-space with low total curvature II,
-
Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada,
Minimal surfaces that attain equality in the Chern-Osserman
inequality
in "Differential Geometry and Integrable Systems",
Ed. M. Guest, R. Miyaoka and Y. Ohnita,
Contemporary Mathematics 308, American Mathematical Society, 2002,
pp. 223-228.
-
Masatoshi Kokubu, Masaro Takahashi, Masaaki Umehara and
Kotaro Yamada,
An analogue of minimal surface theory in
SL(n,C)/SU(n),
-
Masaaki Umehara and Kotaro Yamada,
Metrics of constant curvature 1 with
three conical singularities on 2-sphere,
Illinois Journal of Mathematics, vol. 44 (2000), 72--94.
-
Shin Kato, Masaaki Umehara and Kotaro Yamada,
General existence of minimal surfaces of genus zero
with catenoidal ends and prescribed flux,
Communications in Analysis and Geometry,
vol. 8 (2000), 83--114.
-
Wayne Rossman, Masaaki Umehara and Kotaro Yamada,
Flux for mean curvature 1 surfaces in hyperbolic 3-space,
and applications,
-
Shin Kato, Masaaki Umehara and Kotaro Yamada,
An inverse problem of the flux for minimal surfaces,
-
Wayne Rossman, Masaaki Umehara and Kotaro Yamada,
Irreducible constant mean curvature 1 surfaces in
hyperbolic space with positive genus,
Tôhoku Mathematical Journal, vol. 49 (1997), 449--484.
-
Shin Kato, Masaaki Umehara and Kotaro Yamada,
General existence of minimal surfaces with prescribed flux
II,
in "Topics in Complex Analysys, Differential Geometry
and Mathematical Physics", (ed. S. Dimiev et. al),
World Scientific (1997), 116--135.
-
Masaaki Umehara and Kotaro Yamada,
A duality on CMC-1surface in the hyperbolic 3-space
and a hyperbolic analogue of the Osserman Inequality,
Tsukuba Journal of Mathematics, vol. 21 (1997), 229--237.
-
Masaaki Umehara and Kotaro Yamada,
Another construction of a CMC-1 surface in
H3,
Kyungpook Mathematical Journal, vol. 35 (1996), 831--849.
-
Masaaki Umehara and Kotaro Yamada,
Surfaces of constant mean curvature c in
H3(-c2)
with prescribed hyperbolic Gauss map,
Mathematische Annalen, vol. 304 (1996), 203--224.
-
Masaaki Umehara and Kotaro Yamada,
Deformation of Lie groups and their application
to surface theory,
in "Geometry and Its Applications" (ed. by T. Nagano et al.),
World Scientific (1993), 241--255.
-
Masaaki Umehara and Kotaro Yamada,
Complete surfaces of constant mean curvature-1
in the hyperbolic 3-space,
Annals of Mathematics, vol. 137 (1993), 611--638.
-
Masaaki Umehara and Kotaro Yamada,
A parametrization of the Weierstrass formulae and perturbation
of some complete minimal surfaces of R3
into the hyperbolic 3-space,
Journal für reine und angewandte Mathematik, vol. 432 (1992),
93--116.
-
Masaai Umehara and Kotaro Yamada,
A deformation of tori with constant mean curvature in
R3 to those in other space forms,
Transactions of the American Mathematical Society,
vol. 330 (1992), 845--857.
-
Hiroyuki Tasaki, Masaaki Umehara and Kotaro Yamada,
Deformations of symmetric spaces of compact type
to their concompact duals,
Japanese Journal of Mathematics, vol. 17 (1991), 383--399.
-
Masaaki Umehara and Kotaro Yamada,
Harmonic non-holomorphic maps of 2-tori into the
2-sphere,
in "Geometry of Manifolds" (ed. by K. Shiohama),
Academic Press (1989), pp. 151--160.
-
Kotaro Yamada,
Complete space-like surfaces with constant mean curvature
in the Minkowski 3-space,
Tokyo Journal of Mathematics, vol. 11 (1988), 329--338.
-
Kotaro Yamada,
Minimal tori in S3 whose lines of curvature lie in
S2,
Tokyo Journal of Mathematics,
vol. 10 (1987), 215--226.
