Application of Bochner formula to generalized Sasakian space forms

DOI10.1007/S13370-018-0611-3zbMath1413.53102OpenAlexW2872907760WikidataQ129593781 ScholiaQ129593781MaRDI QIDQ1715767

Mohammed Jamali, Mohammed Hasan Shahid

Publication date: 29 January 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0611-3

zbMATH Keywords

Bochner formulawarped productgeneralized Sasakian space form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

The base of warped product submanifolds of Sasakian space forms characterized by differential equations ⋮ Bochner formula in generalized \((k,\mu)\)-space forms ⋮ Study of differential equations on warped product semi-invariant submanifolds of the generalized Sasakian space forms ⋮ On differential equations classifying a warped product submanifold of cosymplectic space forms

Cites Work

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• On a differential equation characterizing Euclidean spheres.
• Applications of Bochner formula to minimal submanifold of the sphere.
• Generalized Sasakian-space-forms
• The axiom of spheres in Riemannian geometry
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Application of an integral formula to CR-submanifolds of complex hyperbolic space
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Totally umbilical hypersurfaces of a locally product Riemannian manifold

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