Curvature invariants of slant submanifolds in \(S\)-space forms

DOI10.1007/s13226-021-00205-6zbMath1505.53071OpenAlexW4200244793MaRDI QIDQ2095080

Joaquín Barrera, Alfonso Carriazo, Pablo Alegre, Luis M. Fernández

Publication date: 9 November 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00205-6

zbMATH Keywords

scalar curvatureRicci curvaturemean curvatureslant submanifolds\(S\)-space-forms

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Lagrangian submanifolds of \(C^n\) with conformal Maslov form and the Whitney sphere
• Obstructions to slant immersions in contact manifolds
• A new class of slant submanifolds in generalized Sasakian space forms
• Some slant submanifolds of \(S\)-manifolds
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• Minimal slant submanifolds of the smallest dimension in \(S\)-manifolds
• NEW RELATIONSHIPS INVOLVING THE MEAN CURVATURE OF SLANT SUBMANIFOLDS IN S-SPACE-FORMS
• Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms
• Invariant submanifolds of an $f$-manifold with complemented frames

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