publication list
All of my papers can be downloaded from the
arXives, except for the following:
- 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
- Isothermicity for discrete surfaces in the Euclidean
and Minkowski 3-spaces (with Y. Kinoshita).
to appear in
OCAMI Studies 3 (2010),
pdf file
- Constant mean curvature surfaces (in
Japanese).
preprint (2010),
pdf file
- Discrete constant mean curvature surfaces
via conserved quantities.
preprint (2010),
pdf file