Proceedings of the American Mathematical Society 131(1) 303-307 2003年1月 [査読有り]
We will show that any punctured Riemann surface can be conformally immersed into a Euclidean 3-space as a branched complete minimal surface of finite total curvature called an algebraic minimal surface.
Geom. Integrability & Quantization. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2002), 360-368 2002年
In this paper, we will report a recent study about moduli spaces of branched and complete minimal surfaces in Euclidean space of genus one with two ends and total curvature −4π.
We will report our recent result on existence of a complex one-parameterfamily of complete minimal surfaces of genus one with one end and finitetotal curvature. The family connects a minimal surface with total curvature -12πand that with total cur...
The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds 2016年7月29日 Young Jin Suh, Yoshihiro Ohnita, Jiazu Zhou, Byung Hak Kim [招待有り]
A super-conformal map from a Riemann surface to the Euclidean four-space is a surface with circular ellipse of curvature with respect to the induced metric. This map has properties similar to the holomorphic function on a Riemann surface. In this ...
We factorize a super-conformal map. This factorization connects a super-conformal map with a holomorphic map. Then we obtain the Schwarz–Pick theorem for super-conformal maps. Then we define a distance on the image of a super-conformal map.
A member of the organising committee of m:iv spring 2017 workshop at University College Cork in Ireland.
http://www2.le.ac.uk/projects/miv/workshop-programme/spring-2017-workshop
2016年9月 - 2016年9月
A network partner of the m:iv minimal surfaces: integrable systems and visualisation.
An international research group funded by The Leverhulme Trust.
Led by Dr Katrin Leschke at the University of Leicester, Department of Mathematics; m:iv brings together researchers at five international institutions to work on the study of minimal surfaces: combining the expertise of the network partners in the areas of visualisation, minimal surfaces and integrable systems will allow new approaches in this research area. The network will run a series of seminars, ranging from introductory presentations to detailed talks on specialised results. The seminar series will develop the necessary foundations for the research whilst computer experiments are undertaken. Extended research visits each year will take place between network partners. In addition to the seminar series and research visits, the network will run a programme of workshops, hosted in turn by each network partner highlighting their area of research, with the final workshop taking place at Leicester, where the various strands will be linked together.
http://www2.le.ac.uk/projects/miv