A survey on semi-Riemannian generalized Sasakian-space-forms

DOI10.1090/conm/674/13573zbMath1355.53038OpenAlexW4246487518MaRDI QIDQ3178897

Alfonso Carriazo

Publication date: 20 December 2016

Published in: Recent Advances in the Geometry of Submanifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/674/13573

zbMATH Keywords

almost complex structuregeneralized complex space formsalmost Hermitian manifoldsalmost contact metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Almost contact and almost symplectic manifolds (53D15)

Cites Work

• Cohomology and stability of generalized Sasakian space-forms
• On some classes of biharmonic Legendre curves in generalized Sasakian space forms
• Generalized Sasakian space forms and conformal changes of the metric
• Some curvature properties of generalized Sasakian-space-forms
• Generalized Sasakian-space-forms with projective curvature tensor
• Submanifolds of generalized Sasakian space forms
• Second order parallel tensors on generalized Sasakian space forms and semi parallel hypersurfaces in Sasakian space forms
• Certain curvature properties of generalized Sasakian-space-forms
• Indefinite almost paracontact metric manifolds
• Locally conformal \(C_{6}\)-manifolds and generalized Sasakian-space-forms
• Contact pseudo-metric manifolds
• On the existence of generalized complex space forms
• Semi-Riemannian generalized Sasakian space forms
• Generalized Sasakian-space-forms
• On generalized Sasakian-space-forms with Weyl-conformal curvature tensor
• On \(\phi\)-recurrent generalized Sasakian-space-forms
• Killing vector fields and twistor forms on generalized Sasakian space forms
• Locally \(\phi\)-symmetric generalized Sasakian-space forms
• Nonexistence of \(\phi\)-recurrent generalized Sasakian-space-forms in a special case
• Structures on generalized Sasakian-space-forms
• On the Projective Curvature Tensor of Generalized Sasakian-Space-Forms
• Generalized Sasakian space forms with semi-symmetric non-metric connections
• On Invariant Submanifolds in Generalized Sasakian Space Forms
• Curvature Tensors on Almost Hermitian Manifolds
• On quasi-conformally flat and quasi-conformally semisymmetric generalized Sasakian-space-forms
• On semiparallel anti-invariant submanifolds of generalizedSasakian space forms
• GENERALIZED SASAKIAN SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS
• Beyond Generalized Sasakian-Space-Forms!
• Riemannian geometry of contact and symplectic manifolds
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