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

Year 2024, , 295 - 300, 26.09.2024

Bahar Kırık Rácz

https://doi.org/10.7240/jeps.1521289

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

Supporting Institution

TÜBİTAK 3501 - Career Development Program (CAREER)

Project Number

122F478

Thanks

This work is supported by TÜBİTAK (The Scientific and Technological Research Council of Türkiye) Career Development Program (3501) under project number 122F478.

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

Supporting Institution

TÜBİTAK 3501 - Kariyer Geliştirme Programı

Project Number

122F478

Thanks

Bu çalışma, Türkiye Bilimsel ve Teknolojik Araştırma Kurumu (TÜBİTAK) tarafından 122F478 Numaralı proje ile desteklenmiştir. Projeye verdiği destekten ötürü TÜBİTAK’a teşekkürlerimi sunarım.

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