New examples of generalized Sasakian-space-forms
New examples of generalized Sasakian-space-forms
In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a structure, on the assumption that it is totally geodesic, totally umbilical, totally contact geodesic or totally contact umbilical. We obtain some general results (including some obstructions) and we also offer some explicit examples.
Plan Andaluz de Investigación (Junta de Andalucía)
Ministerio de Economía y Competitividad
- University of Seville Spain
- Balıkesir University Turkey
Special Riemannian manifolds (Einstein, Sasakian, etc.), Submanifolds, Lightlike submanifolds, Global submanifolds, space form, submanifold, contact metric manifold, Sasakian-space-forms, Manifold, Sasakian manifold
Special Riemannian manifolds (Einstein, Sasakian, etc.), Submanifolds, Lightlike submanifolds, Global submanifolds, space form, submanifold, contact metric manifold, Sasakian-space-forms, Manifold, Sasakian manifold
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