Differential Geometry and Differential Equations [electronic resource] : Proceedings of a Symposium, held in Shanghai, June 21 – July 6, 1985 / edited by Chaohao Gu, Marcel Berger, Robert L. Bryant.

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.

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.