INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS

DOI10.1017/S0017089508004369zbMath1221.53089OpenAlexW2081229337MaRDI QIDQ3529464

Mukut Mani Tripathi, Luigia Di Terlizzi, Beniamino Cappelletti-Montano

Publication date: 13 October 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089508004369

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15)

Related Items

Characterizations for totally geodesic submanifolds of a \(K\)-paracontact manifold, The foliated structure of contact metric \((\kappa , \mu )\)-spaces, Invariant submanifolds of paracontact metric \((\tilde{\kappa }\neq -1, \tilde{\mu })\)-manifolds, Submanifolds in manifolds with metric mixed 3-structures, Unnamed Item, A classification of totally geodesic and totally umbilical Legendrian submanifolds of \((\kappa,\mu)\)-spaces, Characterizations for totally geodesic submanifolds of $(\kappa,\mu)$-paracontact metric manifolds, C-totally real warped product submanifolds

Cites Work

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• On the differential geometry of tangent bundles of Riemannian manifolds. II
• Two remarks on contact metric structures
• A class of locally \(\varphi\)-symmetric contact metric spaces
• Contact metric manifolds satisfying a nullity condition
• On contact structures of tangent sphere bundles
• CONTACT-HOMOGENEOUS LOCALLY $\varphi$-SYMMETRIC MANIFOLDS
• Invariant submanifolds of normal contact metric manifolds
• Riemannian geometry of contact and symplectic manifolds