B.Y.Chen inequality Barrow’s inequality Betti number CR-warped product submanifolds Casorati curvature Casorati curvatures Chen inequalities Einstein manifold Erdös–Mordell inequality Kähler identities Lagrangian submanifold Lagrangian submanifolds Laplacian Lefschetz operator Legendrian submanifold Maslov form Mathematics & science Research & information: general Ricci curvature Simpson inequality Tachibana number Wintgen inequality almost Hermitian manifolds clifford minimal hypersurfaces closed form complex space form complex space forms conformal form contact vector field diffeomorphic