Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R)
Differential Geometry
2020-06-23 v1
Abstract
The space admits a natural homogeneous pseudo-Riemannian nearly Kaehler structure. We investigate almost complex surfaces in this space. In particular we obtain a complete classification of the totally geodesic almost complex surfaces and of the almost complex surfaces with parallel second fundamental form.
Keywords
Cite
@article{arxiv.2006.11906,
title = {Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R)},
author = {Elsa Ghandour and Luc Vrancken},
journal= {arXiv preprint arXiv:2006.11906},
year = {2020}
}