Exploring the Cauchy-Riemann structure and integrability conditions of $F$-structures satisfying $αF^{K+1} +βF^{K} + F=0$
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909157081219072 |
|---|---|
| author | Zagane, Abderrahim |
| author_facet | Zagane, Abderrahim |
| contents | This work introduces a new class of $F$-structures satisfying $αF^{K+1} +βF^{K} + F=0$, where $K$ is a positive integer, $K\geq3$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01496 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exploring the Cauchy-Riemann structure and integrability conditions of $F$-structures satisfying $αF^{K+1} +βF^{K} + F=0$ Zagane, Abderrahim Differential Geometry This work introduces a new class of $F$-structures satisfying $αF^{K+1} +βF^{K} + F=0$, where $K$ is a positive integer, $K\geq3$, 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. |
| title | Exploring the Cauchy-Riemann structure and integrability conditions of $F$-structures satisfying $αF^{K+1} +βF^{K} + F=0$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2404.01496 |