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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2021 / Cilt: 39 - Sayı: 2

Lifts of connections to the bundle of (1,1) type tensor frames

Habil FATTAYEV1
Haşim ÇAYIR
Sayfa
177–183
Yayın Tarihi
2021-06-02
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also we study the properties of the geodesic lines corresponding to the complete lift of the linear connection and investigate the relations between Sasaki metric and lifted connections on the bundle of (1,1) type tensor frames.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we consider the bundle of (1,1) type tensor frames over a smooth manifold, define the horizontal and complete lifts of symmetric linear connection into this bundle.
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Temel Bulgular & Veri:In this paper we consider the bundle of (1,1) type tensor frames over a smooth manifold, define the horizontal and complete lifts of symmetric linear connection into this bundle.
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Sonuç & Katkı:Also we study the properties of the geodesic lines corresponding to the complete lift of the linear connection and investigate the relations between Sasaki metric and lifted connections on the bundle of (1,1) type tensor frames.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:linear connection · adapted frame · horizontal lift

Abstract

In this paper we consider the bundle of (1,1) type tensor frames over a smooth manifold, define the horizontal and complete lifts of symmetric linear connection into this bundle. Also we study the properties of the geodesic lines corresponding to the complete lift of the linear connection and investigate the relations between Sasaki metric and lifted connections on the bundle of (1,1) type tensor frames.

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Bu Makaleye Atıf Yap

FATTAYEV1, H., ÇAYIR, H. (2021). Lifts of connections to the bundle of (1,1) type tensor frames. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 39 - Sayı: 2, 177–183. https://ajindex.com/articles/419030

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Kaynakça (18)

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