#### Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves

Yıl: 2023 Cilt: Sayı: 42 Sayfa Aralığı: 94 - 107 Metin Dili: İngilizce DOI: 10.53570/jnt.1213002 İndeks Tarihi: 24-04-2023

Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves

Öz: This study generalizes the cross product defined in 3-dimensional almost contact metric manifolds and describes a new generalized cross product for n=1 in (2n+s)-dimensional framed metric manifolds. Moreover, it studies some of the proposed product’s basic properties. It also performs characterizations of the curvature of a Legendre curve on an S-manifold and calculates the curvature of a Legendre curve. Furthermore, it shows that Legendre curves are also biharmonic curves. Next, this study observes that a Legendre curve of osculating order 5 on S-manifolds is imbedded in the 3-dimensional K-contact space. Lastly, the current paper discusses the need for further research.

Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA | CAN S, CAMCI Ç (2023). Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. , 94 - 107. 10.53570/jnt.1213002 |

Chicago | CAN Saniye,CAMCI Çetin Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. (2023): 94 - 107. 10.53570/jnt.1213002 |

MLA | CAN Saniye,CAMCI Çetin Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. , 2023, ss.94 - 107. 10.53570/jnt.1213002 |

AMA | CAN S,CAMCI Ç Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. . 2023; 94 - 107. 10.53570/jnt.1213002 |

Vancouver | CAN S,CAMCI Ç Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. . 2023; 94 - 107. 10.53570/jnt.1213002 |

IEEE | CAN S,CAMCI Ç "Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves." , ss.94 - 107, 2023. 10.53570/jnt.1213002 |

ISNAD | CAN, Saniye - CAMCI, Çetin. "Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves". (2023), 94-107. https://doi.org/10.53570/jnt.1213002 |

APA | CAN S, CAMCI Ç (2023). Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. Journal of New Theory, (42), 94 - 107. 10.53570/jnt.1213002 |

Chicago | CAN Saniye,CAMCI Çetin Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. Journal of New Theory , no.42 (2023): 94 - 107. 10.53570/jnt.1213002 |

MLA | CAN Saniye,CAMCI Çetin Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. Journal of New Theory, vol., no.42, 2023, ss.94 - 107. 10.53570/jnt.1213002 |

AMA | CAN S,CAMCI Ç Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. Journal of New Theory. 2023; (42): 94 - 107. 10.53570/jnt.1213002 |

Vancouver | CAN S,CAMCI Ç Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves. Journal of New Theory. 2023; (42): 94 - 107. 10.53570/jnt.1213002 |

IEEE | CAN S,CAMCI Ç "Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves." Journal of New Theory, , ss.94 - 107, 2023. 10.53570/jnt.1213002 |

ISNAD | CAN, Saniye - CAMCI, Çetin. "Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves". Journal of New Theory 42 (2023), 94-107. https://doi.org/10.53570/jnt.1213002 |