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Dergiler / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2017 / Cilt: 21 - Sayı: 1

Integrable G<sub>2</sub> Structures on 7-dimensional 3-Sasakian Manifolds

Nülifer ÖZDEMİR
Şirin AKAY
Sayfa
254–260
Yayın Tarihi
2017-02-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we investigate some properties of torsion tensors.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:It is known that there exist canonical and nearly parallel $G_2$ structures on 7-dimensional 3-Sasakian manifolds.
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Temel Bulgular & Veri:In this paper, we investigate the existence of $G_2$ structures which are neither canonical nor nearly parallel.
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Sonuç & Katkı:In addition, we investigate some properties of torsion tensors.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:G2 group · G2 structure · 3-Sasakian structure

Özet

It is known that there exist canonical and nearly parallel $G_2$ structures on 7-dimensional 3-Sasakian manifolds. In this paper, we investigate the existence of $G_2$ structures which are neither canonical nor nearly parallel. We obtain eight new $G_2$ structures on 7-dimensional 3-Sasakian manifolds which are of general type according to the classification of $G_2$ structures by Fernandez and Gray. Then by deforming the metric determined by the $G_2$ structure, we give integrable $G_2$ structures. On a manifold with integrable $G_2$ structure, there exists a uniquely determined metric covariant derivative with anti-symetric torsion. We write torsion tensors corresponding to metric covariant derivatives with skew-symmetric torsion. In addition, we investigate some properties of torsion tensors.

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Bu Makaleye Atıf Yap

ÖZDEMİR, N., AKAY, Ş. (2017). Integrable G<sub>2</sub> Structures on 7-dimensional 3-Sasakian Manifolds. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 21 - Sayı: 1, 254–260. https://ajindex.com/articles/701236

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Kaynakça (8)

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