Rigidity results for submanifolds in generalized Sasakian space forms

• Mert, Tuğba ^[1] ; Atçeken, Mehmet ^[2] ; Uygun, Pakize
  1. [1] University of Sivas Cumhuriyet.
  2. [2] University of Aksaray.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 1067-1091
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this article, generalized Saasakian space forms are discussed and invariant submanifolds of these space forms are examined. The curvature tensor chosen is of great importance when examining the characterization of a manifold. In this article, invariant submanifolds of generalized Sasakian space forms are characterized according to the W∗0 −curvature tensor and pseudoparallel submanifolds are investigated for these space forms.