On infinitesimal transformations of Weyl manifolds

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GÜL İ.

3rd International Conference of Mathematical Sciences, ICMS 2019, İstanbul, Türkiye, 4 - 08 Eylül 2019, cilt.2183, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2183
  • Doi Numarası: 10.1063/1.5136224
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: Lie derivative, prolonged (extended) Lie derivative, Weyl manifold
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Maltepe Üniversitesi Adresli: Evet

Özet

A Weyl manifold is a conformal manifold equipped with a torsion free connection preserving the conformal structure. In order to make computations in a conformal gauge invariant way, it is better to work with weighted tensors and Weyl's covariant derivative which will be called prolonged covariant derivative. In this work, by considering the weights of pseudo-quantities, we examine infinitesimal transformations on Weyl manifolds and we obtain some results by using the definition of prolonged (extended) Lie derivative.