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Geometry, Differential. --- Géométrie différentielle. --- Differential invariants. --- Invariants différentiels.

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Stiff computation (Differential equations) --- Équations différentielles difficiles. --- Invariant imbedding --- Plongement invariant. --- Differential invariants --- Invariants différentiels.

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Geometry, Differential. --- Géometrie différentielle --- Differential invariants. --- Invariants différentiels. --- Riemann, Variétés de --- Geometrie differentielle classique --- Formes quadratiques --- Geometrie differentielle classique --- Formes quadratiques

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This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view.This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.

Algebraic geometry --- Differential geometry. Global analysis --- Grassmann manifolds --- Differential forms. --- Grassmann manifolds. --- Invariants. --- Geometry, Differential. --- Géométrie différentielle. --- Differential invariants. --- Invariants différentiels. --- Forms, Differential --- Continuous groups --- Geometry, Differential --- Grassmannians --- Differential topology --- Manifolds (Mathematics) --- Calculation. --- Cohomology ring. --- Cohomology. --- Complex space. --- Cotangent bundle. --- Diagram (category theory). --- Exterior algebra. --- Grassmannian. --- Holomorphic vector bundle. --- Manifold. --- Regular map (graph theory). --- Remainder. --- Representation theorem. --- Schubert variety. --- Sesquilinear form. --- Theorem. --- Vector bundle. --- Vector space.