Publications
Sumio Yamada
Mathematical Institute, Tohoku University
Sendai, Japan,
980-8578
E-mail:
yamada "at" math.tohoku.ac.jp
Voice: +81-22-795-6389
Fax: +81-22-795-6389
Curriculum Vitae
Curriculum Vitae(Japanese)
Sumio Yamada's homepage
Mathematical Institute
Articles in refereed journals
- On the Ranks of Harmonic Maps.
Comm. P.D.E's. no.23 (1998)
no.11-12, 1969--1993.
- Weil-Petersson Convexity of the Energy functional on
Classical and Universal Teichmuller Spaces.
J. Diff. Geom.
no.51 (1999) no.1 35--96.
- Dual monotonicity formula for harmonic mappings.
Calculus of
Variations 18 181-188 (2003)
- On the Weil-Petersson Geometry of Teichmuller Spaces.
Math. Res.
Let. non.11 (2004) no.3 327--344.
- On a Penrose inequality with charge.
Comm. Math. Phys. no.257
(2005) no.3 703--723.
[Joint work with Gilbert Weinstein]
- Area Density and Regularity for Soap Film-Like Surfaces Spanning
Graphs.
Math. Zeit. no.253 (2006) no.2 315--331.
[Joint work with
Robert Gulliver]
- On a construction of parametrized minimal network.
Matematica
Contemporanea no.29 (2005) 171--180.
- The parameterized Steiner problem and the singular Plateau via
energy.
Trans. of AMS no.358 (2006) 2875-2895.
[Joint work with Chikako Mese]
- On existence of matter outside a static blackhole.
J.Math.Phys. vol. 47 no.11 (2006) 112502.1-112502.8.
[Joint work with Tetsuya Shiromizu and Hirotaka Yoshino]
- Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property.
to appear in Geometriae Dedicata, DOI 10.1007/s10711-009-9401-2.
- Riemannian Penrose inequality and a virtual gravitational collapse.
Physical Review D 80 (2009) 047501.1-047501.4.
[Joint work with Seiju Ohashi and Tetsuya Shiromizu]
Proceedings
- A variational formulation for the Einstein-Maxwell equations.
Proc. of the 15th Workshop on General Relativity and Gravitation in
Japan (2006) 237--240.
- On variational formulations of singular minimal subvarieties.
RIMS Kokyuroku Workshop on Submanifold theory related to the Integrable Systems and Geometric analysis(部分多様体論と可積分系および幾何解析とのつながり) (2007) 55--63.
- Isothermal coordinates on singular minimal surfaces
RIMS Kokyuroku Workshop on Problems in the Calculus of Variations and Related Topics(変分問題とその周辺) (2008), 109--115.
Lecture notes
Preprints on
arXive
- Total curvature and isotopy of graphs in R^3
arXiv:0806.0406 [Joint work with Robert Gulliver]
- Local uniformization and free boundary regularity of minimal singular surfaces
arXiv:0806.0278 [Joint work with Chikako Mese]
- Weil-Petersson Completion of Teichmuller Spaces and Mapping Class Group
Actions.
math.DG/0112001
- Harmonic mappings into Teichmuller spaces.
math.DG/0112003
Survey articles
- 時計仕掛けの地図, 数理科学 2008年10月号（ポアンカレ特集号）44--50.
In Preparation