Symmetry properties of complex contact space form

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Vanlı A.

American Mathematical Society, ss.1, Michigan, 2021

  • Yayın Türü: Bilirkişi Raporu / Uzmanlık Raporu
  • Basım Tarihi: 2021
  • Basıldığı Şehir: Michigan
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, some symmetry conditions on complex contact space forms are studied. Definitions of pseudo-symmetry in the Deszcz sense and Ricci-pseudo-symmetry in complex contact manifolds are given. The authors show that a complex contact space form is semi-symmetric if and only if it is locally isometric to CP2n+1(4). In addition, they prove that there is no normal complex contact space form which is properly pseudo-symmetric.