The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. They cover recent advances and principal trends in current research in differential geometry.

Minimal lagrangian submanifolds of Kähler-einstein manifolds.- An estimate of the lower bound of levi form and its applications.- A global study of extremal surfaces in 3-dimensional Minkowski space.- Lie transformation groups and differential geometry.- The imbedding problem of Riemannian globally symmetric spaces of the compact type.- A Willmore type problem for S2×S2.- The integral formula of pontrjagin characteristic forms.- Some stability results of harmonic map from a manifold with boundary.- Ck-bound of curvatures in Yang-Mills theory.- Number theoretic analogues in spectral geometry.- On the gauss map of submanifold in Rn and Sn.- Twistor constructions for harmonic maps.- On two classes of hypersurfaces in a space of constant curvature.- A constructive theory of differential algebraic geometry based on works of J.F. Ritt with particular applications to mechanical theorem-proving of differential geometries.- Remarks on the fundamental group of positively curved manifolds.- Liouville type theorems and regularity of harmonic maps.- On absence of static yang-mills fields with variant mass.- On the infinitesimal parallel displacement.- Harmonic and Killing forms on complete Riemannian manifolds.

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