Advanced Studies: Euro-Tbilisi Mathematical Journal

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

A. Zagane

This work introduces a new class of F-structures satisfying α F^K+1 +β F^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.


Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 15-33

Exploring the Cauchy-Riemann structure and integrability conditions of F-structures satisfying α FK+1 +β FK + F=0

A. Zagane

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