论文标题
在五个维度和嵌入问题上关闭3型
Closed 3-forms in five dimensions and embedding problems
论文作者
论文摘要
我们考虑一个问题，是否可以将五个维歧管嵌入复合尺寸的三个歧管中，以使塑形体积形式的实际部分诱导给定的5型序列上给定的3型封闭形式。我们在尺寸5中定义了一组3型的开放式三种形式，我们称之为强烈的伪配合物，并表明，对于封闭的强烈伪convex 3形式，如果障碍物的有限尺寸矢量空间消失了，则可以解决此嵌入问题的扰动版本。
We consider the question if a five dimensional manifold can be embedded into a Calabi-Yau manifold of complex dimension three such that the real part of the holomorphic volume form induces a given closed 3-form on the 5-manifold. We define an open set of 3-forms in dimension five which we call strongly pseudoconvex, and show that for closed strongly pseudoconvex 3-forms the perturbative version of this embedding problem can be solved if a finite dimensional vector space of obstructions vanishes.
