论文标题
几乎复杂的表面(2,r)XSL(2,r)
Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R)
论文作者
论文摘要
空间$ sl(2,\ mathbb {r})\ times sl(2,\ mathbb {r})$允许自然的同质伪里曼尼亚人接近kaehler结构。我们研究了这个空间中几乎复杂的表面。特别是,我们获得了完全测量的几乎复杂表面和具有平行第二基本形式的几乎复杂表面的完整分类。
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.