Primary 53C42 Quadratic Eigenvalue Problem Chen and Nagano’s two-numbers Shape operator Simons type integral inequality Secondary 53B25 Product submanifold La classe de Selberg Nearly Kähler S3×S3 Distribution of zeros Calabi product immersion Minimal Lagrangian submanifolds Formes modulaires et fonctions L associées Spectral geometry Isoparametric hypersurface Levi-Civita connection A-points de fonctions L A-points of L-functions Kaehler manifolds Differential geometry of local submanifolds Riemannian submersions Le critère de Li Hopf hypersurface The complex hyperquadric Ellipsoid Affine hypersurfaces Δ-invariants and basic inequalities Riemannian submersion Biharmonic maps Pseudo Riemannian geometry Riemann hypothesis Homotopy H-umbilical Lagrangian submanifold Conformally flat hypersurface Affine hypersphere Répartition des zéros Friction-induced vibration Finite type theory for maps and immersions Nearly Kähler geometry 53D12 Parallel Ricci tensor Tchebychev hypersurface Perturbation Selberg class L'hypothèse de Riemann Δ-invariants Ideal submanifolds Gauss map Minimal submanifolds Nonlinear vibration Projection Optimal inequality Centroaffine hypersurface Einstein hypersurface Li criterion Constant mean curvature Complex space form Modular forms and associated L-functions Lagrangian submanifold Hyperovaloid Biharmonic hypersurfaces Affine metric Minimal Lagrangian submanifold Difference tensor Compact symmetric spaces Constant sectional curvature Affine hypersurface