Affine deformations of pairs of confoliations

Cheikh Khoule; Ameth Ndiaye; Aïssa Wade

doi:10.1007/s00022-025-00742-z

Affine deformations of pairs of confoliations

Cheikh Khoule
, Ameth Ndiaye
, Aïssa Wade

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Article number	4
Journal	Journal of Geometry
Volume	116
Issue number	1
DOIs	https://doi.org/10.1007/s00022-025-00742-z
State	Published - Apr 2025

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s00022-025-00742-z

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title = "Affine deformations of pairs of confoliations",

abstract = "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.",

author = "Cheikh Khoule and Ameth Ndiaye and A{\"i}ssa Wade",

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AU - Wade, Aïssa

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PY - 2025/4

Y1 - 2025/4

N2 - 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.

AB - 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.

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Affine deformations of pairs of confoliations

Abstract

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