论文标题
平面前波中完全间距的子延伸物的刚度结果
Rigidity results for complete spacelike submanifolds in plane fronted waves
论文作者
论文摘要
获得了平面前波中任意编成的完整非紧密的空间类次符号的新刚度结果。在适当的假设下，我们证明在这些空间中的完全间距的亚曼叶量包含在特征性的轻度性超表面中。此外，对于完整的编成两个极端亚策略，在平面前波中，我们显示出足够的条件，可以保证它是（完全地球的）波前。
New rigidity results for complete non-compact spacelike submanifolds of arbitrary codimension in plane fronted waves are obtained. Under appropriate assumptions, we prove that a complete spacelike submanifold in these spacetimes is contained in a characteristic lightlike hypersurface. Moreover, for a complete codimension two extremal submanifold in a plane fronted wave we show sufficient conditions to guarantee that it is a (totally geodesic) wavefront.
