Annals of Global Analysis and Geometry 61(1) 21-36 2022年2月 [査読有り]
For a given minimal surface in the n-sphere, two ways to construct a minimal surface in the m-sphere are given. One way constructs a minimal immersion. The other way constructs a minimal immersion which may have branch points. The branch points oc...
The aim of this paper is to investigate a new link between integrable systems and minimal surface theory. The dressing operation uses the associated family of flat connections of a harmonic map to construct new harmonic maps. Since a minimal surfa...
Differential geometry and its applications 30(3) 227-232 2012年6月 [査読有り]
Att∗-bundle is constructed by aharmonicmap from aRiemannsurface into an n-dimensional sphere. This tt∗-bundle is a high-dimensional analogue of a quaternionic line bundle with a Willmore connection. For the construction, a flat connection is decom...
A map from an almost Hermitian manifold to an even dimensional Riemannian manifold is called twistor holomorphic if it has a lift to the twistor space and it is holomorphic with respect to almost complex structures. A twistor lift is used to inves...
The 5th OCAMI-TIMS Joint International Workshop on Differential Geometry and Geometric Analysis (2013/03/25-27) 2013年3月26日 大仁田義裕 [招待有り]
We regard a conformal map from a Riemann surface to Euclidean four-space with vanishing Willmore energy as a higher codimensional version of a holomorphic function or a meromorphic funciton. Then we find a property of a surface with vanishing Will...
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
大学本部
理学研究科