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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Volume: 50 Issue: 6

A note on induced connections

Mohamed Tahar Kadaoui Abbassi(Sidi Mohamed Benabdellah University)0000-0001-7802-0624
Ibrahim Lakrini(Sidi Mohamed Ben Abdallah University)0000-0001-9863-8886
Sayfa
—
Yayın Tarihi
2021-12-14
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Consequently, we give the expression of the curvature in terms of the curvature 2-form of a connection on a principal bundle.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this note, we will exploit the classical bijective correspondence between sections of an associated vector bundle and equivariant functions on the underlying principal bundle to revisit a global formula for induced connections on associated vector bundles.
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Temel Bulgular & Veri:In this note, we will exploit the classical bijective correspondence between sections of an associated vector bundle and equivariant functions on the underlying principal bundle to revisit a global formula for induced connections on associated vector bundles.
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Sonuç & Katkı:Consequently, we give the expression of the curvature in terms of the curvature 2-form of a connection on a principal bundle.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Principal bundle · Assosiated bundle · Induced connection

Abstract

In this note, we will exploit the classical bijective correspondence between sections of an associated vector bundle and equivariant functions on the underlying principal bundle to revisit a global formula for induced connections on associated vector bundles. Consequently, we give the expression of the curvature in terms of the curvature 2-form of a connection on a principal bundle.

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Bu Makaleye Atıf Yap

Abbassi, M. T. K., Lakrini, I. (2021). A note on induced connections. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 6. https://doi.org/10.15672/hujms.829790

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