Rigidity results for submanifolds in generalized Sasakian space forms

DOI10.22199/issn.0717-6279-5641OpenAlexW4385541574MaRDI QIDQ6184169

Mehmet Atçeken, Pakize Uygun, Tuğba Mert

Publication date: 24 January 2024

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-5641

zbMATH Keywords

invariant submanifoldsSasakian space formsspseudoparallel submanifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Cites Work

• Some curvature properties of generalized Sasakian-space-forms
• Some global properties of contact structures
• On differentiable manifolds with certain structures which are closely related to almost contact structure. II
• Almost contact structures and curvature tensors
• Contact manifolds in Riemannian geometry
• Generalized Sasakian-space-forms
• Characterizations for totally geodesic submanifolds of a \(K\)-paracontact manifold
• Certain invariant submanifolds of generalized Sasakian-space-forms
• Structures on generalized Sasakian-space-forms
• The theory of quasi-Sasakian structures
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• Characterizations for totally geodesic submanifolds of $(\kappa,\mu)$-paracontact metric manifolds
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