Haşim ÇAYIR

Covarient Derivatives of Structures with Respect to Lifts on Tangent Bundle T(M)

The differential geometry of tangent bundles was studied by several authors, for example: D. E. Blair (Blair 1976), V. Oproiu (Oproiu 1973), A. Salimov (Salimov 2013), Yano and Ishihara (1973) and among others. It is well known that differant structures defined on a manifold M can be lifted to the same type of structures on its tangent bundle. Our goal is to study covariant derivatives of almost contact structure and almost paracontact structure with respect to XV, XC and XH on tangent bundle T(M).

Tangent Demet T(M) Üzerinde Liftlere Göre Yapıların Kovaryant Türevleri

Tanjant demetin diferensiyel geometrisi, D. E. Blair (Blair 1976), V. Oproiu (Oproiu 1973), A. Salimov (Salimov 2013), Yano ve Ishihara (1973) ve diğer birçok bilim adamları tarafından çalışıldı. Bir manifold üzerinde tanımlanan farklı yapılar, onun tanjant demeti üzerindeki aynı tip yapılara taşınabilindiği bilinmektedir. Bizim bu çalışmadaki amacımız tanjant demet üzerinde almost kontakt yapı ve almost parakontakt yapıların XC, XV ve XH ye göre kovaryant türevlerini hesaplamaktır.

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