Scholarlink

<p>Using the existence of real analytic curves of almost complex structures, we prove that, on a compact almost complex manifold, the space of almost complex structures whose Nijenhuis tensor has rank at least <i>k</i> at every point is either open and dense or empty in each path-connected component of the space of almost complex structures. In particular, our result holds for maximally non-integrable almost complex structures.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Real analytic curves of almost complex structures

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月12日

查看全文
  • Lorenzo Sillari

摘要

Using the existence of real analytic curves of almost complex structures, we prove that, on a compact almost complex manifold, the space of almost complex structures whose Nijenhuis tensor has rank at least k at every point is either open and dense or empty in each path-connected component of the space of almost complex structures. In particular, our result holds for maximally non-integrable almost complex structures.