algebraic curvature tensors, critical points of curvature, Local differential geometry of Hermitian and Kählerian structures, curvature normal forms, sectional curvature, Differential invariants (local theory), geometric objects, Global differential geometry of Hermitian and Kählerian manifolds, pointwise geometry curvature operators, Kähler manifolds, 53C55, Local Riemannian geometry, Differential geometric aspects in vector and tensor analysis, Special Riemannian manifolds (Einstein, Sasakian, etc.)