Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms

DOI10.4153/CMB-2008-045-0zbMath1147.53315OpenAlexW2057685760MaRDI QIDQ3523913

Toru Sasahara

Publication date: 8 September 2008

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2008-045-0

zbMATH Keywords

biharmonic mapsSasakian manifoldsLegendrian submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43)

Related Items (13)

Biharmonic maps between warped product manifolds ⋮ Geometry of Sasaki manifolds, Kähler cone manifolds and bi-harmonic submanifolds ⋮ Sasaki manifolds, Kähler cone manifolds and biharmonic submanifolds ⋮ A class of biminimal Legendrian submanifolds in Sasakian space forms ⋮ Bertrand mate of timelike biharmonic Legendre curves in Lorentzian Heisenberg group Heis3 ⋮ A classification result for biminimal Lagrangian surfaces in complex space forms ⋮ On the biharmonic and harmonic indices of the Hopf map ⋮ Biminimal Lagrangian \(H\)-umbilical submanifolds in complex space forms ⋮ Unnamed Item ⋮ Biharmonic maps on principal \(G\)-bundles over complete Riemannian manifolds of nonpositive Ricci curvature ⋮ Unnamed Item ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms ⋮ Harmonic maps and biharmonic Riemanian submersions

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