Recent developments in δ-Casorati curvature invariants

DOI10.3906/mat-2009-8zbMath1505.53002OpenAlexW3123853959MaRDI QIDQ5100185

Bang-Yen Chen

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2009-8

zbMATH Keywords

\(\delta\)-invariantoptimal inequalityCasorati ideal submanifoldChen invariant\(\delta\)-Casorati curvaturesChen ideal submanifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Differential invariants (local theory), geometric objects (53A55) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Related Items

Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms II ⋮ On \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant \(q\)-sectional curvature ⋮ Toward differential geometry of statistical submanifolds ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ Variational problems for integral invariants of the second fundamental form of a map between pseudo-Riemannian manifolds ⋮ Inequalities on Riemannian warped product submersions for vertical Casorati curvatures ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds ⋮ Optimization on Submanifolds of $\delta$-Lorentzian trans-Sasakian Manifolds with Casorati Curvatures

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