On Cauchy-Riemann structure and integrability conditions of F-structure satisfying F3-F2+F=0

Authors

  • F. Latti SALHI Ahmed Naama University Center, Naama, Algeria
  • A. Zagane Ahmed Zabana University-Relizane, Algeria

DOI:

https://doi.org/10.31926/but.mif.2026.6.68.1.9

Keywords:

F-structures, Nijenhuis tensor, Cauchy-Riemann structure, integrability, partial integrability, complete integrability

Abstract

In this paper, we present the F-structures satisfying F3−F2+F = 0, and then we study the Cauchy-Riemann structure and the relationship between it and the F-structure. We also discuss some problems of integrability, partial integrability, and complete integrability for this structure. Finally, we also provide some examples of the F-structure.

Author Biographies

F. Latti, SALHI Ahmed Naama University Center, Naama, Algeria

Department of Mathematics

A. Zagane, Ahmed Zabana University-Relizane, Algeria

Department of Mathematics, Laboratory of Analysis, Geometry and its Applications (LAGA), Relizane

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Published

2026-06-23

Issue

Section

MATHEMATICS