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arXiv · 2006.11906

Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R)

Elsa Ghandour·Luc Vrancken
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Abstract

The space $SL(2,\mathbb{R})\times SL(2,\mathbb{R})$ 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.

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Elsa Ghandour, Luc Vrancken. 2020-06-21. Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R). https://arxiv.org/abs/2006.11906

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