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<p>In this paper, we study deformations of pairs of codimension one foliations into contact pairs. We find necessary and sufficient conditions for the existence of affine deformations of codimension 1 foliations into contact pairs. Several examples of affine deformations of pairs of foliations are discussed. In addition, we give an application to normal <i>f</i>-structure contact pairs by proving that normal <i>f</i>-structure contact pairs are stable under affine deformations.</p>

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Affine deformations of pairs of confoliations

  • 期刊论文

  • 发表日期：

    2025年1月27日

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  • Cheikh Khoule,
  • Ameth Ndiaye,
  • Aïssa Wade

摘要

In this paper, we study deformations of pairs of codimension one foliations into contact pairs. We find necessary and sufficient conditions for the existence of affine deformations of codimension 1 foliations into contact pairs. Several examples of affine deformations of pairs of foliations are discussed. In addition, we give an application to normal f-structure contact pairs by proving that normal f-structure contact pairs are stable under affine deformations.