publication list
All of my papers that are not listed below
can be downloaded from the
arXives. Those listed here are either not there,
or are there but without publication data:
- Addendum: singularities of flat fronts
in hyperbolic space (with M. Kokubu, K. Saji, M. Umehara and
Y. Yamada).
to appear in Pacific J. Math.
- Discrete linear Weingarten surfaces (with
F. Burstall and U. Hertrich-Jeromin).
arXiv:1406.1293, to appear in Nagoya Math. J.
- Discretization of Isothermic Surfaces in Lie
Sphere Geometry (with J. Cho, K. Naokawa, Y. Ogata, M. Pember and
M. Yasumoto).
submitted.
- Differential Geometry of Curves and Surfaces
(translation of a text in Japanese by M. Umehara and K. Yamada).
World Scientific Publishing Co., 2017.
- Discrete special isothermic surfaces (with
F. Burstall, U. Hertrich-Jeromin and S. Santos).
Geom. Dedicata 174 (2015), 1-11.
- Discrete linear Weingarten surfaces with
singularities in Riemannian and Lorentzian spaceforms (with
M. Yasumoto).
arXiv:1611.00143, to appear in proceedings of
Singularities in Generic Geometry
and its Applications--Kobe-Kyoto 2015 (ValenciaIV), ASPM (Math. Soc.
Japan).
- Isothermic surfaces in Moebius and Lie sphere
geometries.
Rokko Lectures in Math. 22 (2014), 1-138.
- Hyperbolic metrics on Riemann surfaces and
spacelike CMC-1 surfaces in de Sitter 3-space (with
S. Fujimori, Y. Kawakami, M. Kokubu, M. Umehara and K.
Yamada).
Recent trends in Lorentzian geometry, 1-47, Springer Proc. Math. Stat.,
26, Springer, New York, 2013.
- Zero mean curvature surfaces in L3 containing a light-like
line (with S. Fujimori, Y. W. Kim. S.-E. Koh, H. Shin, H. Takahashi, M.
Umehara, K. Yamada and S.-D. Yang).
C. R. Math. Acad. Sci. Paris 350 (2012), no. 21-22, 975-978.
- Zero mean curvature entire graphs of mixed type in
Lorentz-Minkowski 3-space (with S. Fujimori, Y. Kawakami, M. Kokubu, M.
Umehara and K. Yamada).
Quart. J. Math. 67 (2016), 801-837.
- Analytic extension of Jorge-Meeks type maximal surfaces in
Lorentz-Minkowski 3-space (with S. Fujimori, Y. Kawakami, M. Kokubu, M.
Umehara and K. Yamada).
Osaka J. Math. 54 (2017), 249-272.
- Zero mean curvature surfaces in Lorentz-Minkowski
3-space and 2-dimensional fluid mechanics (with S. Fujimori, Y. W. Kim,
S.-E. Koh, H. Shin, M. Umehara, K. Yamada and S.-D. Yang).
Math. J. Okayama Univ. 57 (2015), 173-200.
- Embedded triply periodic zero mean
curvature surfaces of mixed type in Lorentz-Minkowski 3-space
(with S. Fujimori, M. Umehara, K. Yamada and S.-D. Yang).
Mich. Math. J. 63 (2014), 189-207.
- Zero mean curvature surfaces in Lorentz-Minkowski
3-space which change type across a light-like line (with
S. Fujimori, Y. W. Kim, S.-E. Koh, H. Shin, M. Umehara, K. Yamada
and S.-D. Yang).
Osaka J. Math. 52 (2015), 285-297 and erratum: Osaka J.
Math. 53 (2016), 289-292.
- CMC-1 trinoids in hyperbolic
3-space and metrics of constant curvature one
with conical singularities on the 2-sphere (with
S. Fujimori, Y. Kawakami, M. Kokubu, M. Umehara and K. Yamada).
Proc. Japan Acad. Ser. A Math. Sci. 87 (2011), 144-149.
- Lie geometry of linear Weingarten surfaces
(with F. E. Burstall and U. Hertrich-Jeromin).
Comptes rendus math. 350, 2012, 413-416.
- Isothermicity for discrete surfaces in the Euclidean
and Minkowski 3-spaces (with Y. Kinoshita).
OCAMI Studies 3 (2010), 1-13.
pdf file
- Constant mean curvature surfaces (in
Japanese).
published in "Kashika no gijutsu to
gendai kikagaku",editor: Wakayama, publisher:
Iwanami shoten, 2010, 93-132.
pdf file
- "Risanteki na kyokumen" (in Japanese, with T.
Kondo).
Suurikagaku, November 2010, 19-25.
- Constant Mean Curvature Surfaces
in Euclidean and Minkowski three spaces
(with D. Brander, N. Schmitt).
J. Geom. Symm. Phys. 12 (2008), 15-26.
pdf file
- Discrete Constant Mean Curvature Surfaces
and their Index (with K. Polthier).
J. Reine. U. Angew. Math. 549 (2002),
47-77. pdf file .
Preprint 484 at
SFB288 TU-Berlin , Correction of the proof of
Lemma 3.2
-
Discrete minimal and constant mean curvature surfaces
(with K. Polthier).
EG-Models numbered 2000: 05.002, 11.040, 11.041, and
2001: 01.043, 01.044, 01.045, 01.046, 01.047.
-
Discrete constant mean curvature surfaces and their index,
preliminary version (with K. Polthier).
Surikaiseki kenkyusho kokyuroku 1221 (2001), 58-69.
Preliminary version of the first item above.
-
Computers and Mathematics: Applications of computers to
integrable systems methods for constructing constant mean
curvature surfaces.
Sugaku 60(1) (2008), 95-103.
Japanese version ,
English version
-
Conserved quantities in the theory of discrete surfaces.
Proceedings of the "Symposium on the differential geometry of
submanifolds" (2007), 1-16.
pdf file
-
Discrete constant mean curvature surfaces via conserved quantities
in any space form.
"Progress in Surface Theory", Oberwolfach Report 24 (2007), 26-28.
pdf file
-
Wente Tori and Morse Index.
An. Acad. Bras. Ci. 71(4-I)
(1999), 607-613. Shortened version of my paper
"The Morse Index of Wente Tori" in Geom. Dedicata 86 (2001).
- New Examples of Minimal Surfaces.
Research
Bulletin of the First MSJ International Research Institute,
Tohoku University (1993), 369-377. Shortened version of
my paper "Minimal Surfaces in R^3 with Symmetry Group
D_n x Z_2" in Tohoku Math J. 47 (1995).
-
Mean curvature 1 surfaces in hyperbolic 3-space
(with M. Umehara and K. Yamada).
EG-Models numbered
2001: 01.048, 01.049, 01.050.
-
Constant mean curvature 1 surfaces with low total curvature in
hyperbolic 3-space (with M. Umehara, K. Yamada).
Advanced Studies in Pure Math., Minimal Surfaces, Geometric Analysis
and Symplectic Geometry 34 (2002), 245-253.
All results here are now available in two other papers with
M. Umehara and K. Yamada, in Tohoku Math. J. 2003 and Hiroshima Math.
J. 2004.
-
Techniques for studying CMC 1 surfaces in hyperbolic three-space.
Tohoku Math. Publ. 20 (2001), 153-162. Shortened version of
my paper "Mean curvature one surfaces in hyperbolic space, and their
relationship to minimal surfaces in Euclidean space" in
J. Geom. Anal. 11 (2001).
- Minimal and Constant Mean Curvature Surfaces in R^3 and
H^3.
Topology and Geometry, Proceedings of Workshop in Pure
Math., Korean Acad. Council 17(III) (1998), 161-194.
pdf file