On xi-Conformally and xi-Pseudo Projectively Flat Lorentzian Sasakian Manifolds with Tanaka-Webster Connection

Erdogan M., Alo J.

THAI JOURNAL OF MATHEMATICS, cilt.20, sa.1, ss.13-19, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2022
  • Dergi Adı: THAI JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.13-19
  • Anahtar Kelimeler: Lorentzian Sasakian manifold, Tanaka-Webster connection, xi-conformally flat, xi-pseudo projectively flat
  • İstanbul Üniversitesi Adresli: Hayır

Özet

In this work, the Tanaka-Webster connection on a Lorentzian Sasakian manifold is defined and the notions xi-quasi conformally and xi-pseudo projectively flat structures on a Lorentzian Sasakian manifold are introduced. After that, it is proved that if any Lorentzian Sasakian manifold with Tanaka-Webster connection is an eta- Einstein manifold, then the Thnaka-Webster connection (del) over cap is xi-conformally flat. Furthermore, we give some structure theorems on Lorentzian Sasakian manifold with respect to the Tanaka-Webster connection.