Exploring the Cauchy-Riemann structure and integrability conditions of F-structures satisfying αF^K+1 +βF^K + F=0

2024/04/01 by Abderrahım Zagane, Zagane, Abderrahim
Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2404.01496

openalex publication_date 2024/04/01 · openalex created_date 2024/04/05 · openalex updated_date 2026/07/28

Abstract

This work introduces a new class of F-structures satisfying αF^K+1 +βF^K + F=0, where K is a positive integer, K≥3, and α, β are real or complex numbers. We investigate the Cauchy-Riemann structure and its link with the F-structure. We also address the integrability of this structure, including partial and complete integrability. Finally, we present several examples of the F-structure.

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