Non-Degenerate Almost Complex Surfaces in $SL(2,\mathbb {R})\times SL(2,\mathbb {R})$ Characterized by the Almost Product Structure P

期刊论文
发表日期：

2026年6月25日

查看全文

Miroslava Antić,
Lin Cao

摘要

In this paper, we study non-degenerate almost complex surfaces in $SL(2,\mathbb {R})\times SL(2,\mathbb {R})$ $S L (2, R) \times S L (2, R)$ for which the almost product structure P preserves the tangent bundle or maps the tangent bundle into the normal bundle. When P preserves the tangent bundle, the non-degenerate almost complex surface is totally geodesic. When P maps the tangent bundle into the normal bundle, the non-degenerate almost complex surface is determined by a spacelike surface immersed in the Minkowski 3-space $\mathbb {R}_1^3$ $R_{1}^{3}$ with constant mean curvature $-\tfrac{2}{\sqrt{3}}$ $- \frac{2}{\sqrt{3}}$ . We also find a flat non-degenerate almost complex surface in this category.

Non-Degenerate Almost Complex Surfaces in \(SL(2,\mathbb {R})\times SL(2,\mathbb {R})\) Characterized by the Almost Product Structure P

摘要