4-Boyutlu Nötr Metrik İşaretli Konformal Düz Uzayların Basit Bir Karakterizasyonu Üzerine

Abstract

Bu çalışmada, 4-boyutlu nötr metrik işaretli konformal düz uzayların tam karakterizasyonu dolanım yapısına dayalı yöntemler kullanılarak verilmiştir. Söz konusu uzaylar için muhtemel dolanım tipleri elde edilmiş ve birtakım açıklamalar yapılmıştır. Bu araştırmaya ilişkin çeşitli örnekler sunulmuştur.

Keywords

• Weyl konformal eğrilik tensörü
• Konformal düz uzay
• Nötr metrik işaret
• Dolanım

On a Simple Characterization of Conformally Flat 4-Dimensional Spaces of Neutral Signature

Abstract

In this work, the full characterization of 4-dimensional conformally flat spaces of neutral signature is given by using methods based on holonomy structure. Possible holonomy types are obtained for the spaces in question and several remarks are made. Various examples are presented related to this investigation.

Keywords

• Weyl conformal curvature tensor
• Conformally flat space
• Neutral signature
• Holonomy

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