J. Bolton

activity

20052014

collaborators

4 papers

math.DG2014

On almost complex surfaces in the nearly Kähler $S^{3} \times S^{3}$

John Bolton, Bart Dioos, Luc Vrancken

We study almost complex surfaces in the nearly Kähler $S^{3} \times S^{3}$ . We show that there is a local correspondence between almost complex surfaces and solutions of the H-surface…

math.DG2012

Almost complex surfaces in the nearly Kähler $S^{3} \times S^{3}$

John Bolton, Franki Dillen, Bart Dioos +1

In this paper almost complex surfaces of the nearly Kähler $S^{3} \times S^{3}$ are studied in a systematic way. We show that on such a surface it is possible to define a global holomor…

math.DG2006

Lagrangian submanifolds attaining equality in the improved Chen's inequality

John Bolton, Luc Vrancken

Recently Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of $C P^{n} (4)$ . For minimal submanifolds this inequality coincides with the original…

math.DG2005

Transforms for minimal surfaces in the 5-sphere

J. Bolton, L. Vrancken

We define two transforms between minimal surfaces with non-circular ellipse of curvature in the 5-sphere, and show how this enables us to construct, from one such surface, a sequen…

On almost complex surfaces in the nearly Kähler S3×S3

Almost complex surfaces in the nearly Kähler S3×S3

Lagrangian submanifolds attaining equality in the improved Chen's inequality

Transforms for minimal surfaces in the 5-sphere

On almost complex surfaces in the nearly Kähler $S^{3} \times S^{3}$

Almost complex surfaces in the nearly Kähler $S^{3} \times S^{3}$