Differential Geometry and Differential Equations: Proceedings of a Symposium, held in Shanghai, June 21 - July 6, 1985 (Lecture Notes in Mathematics (1255))

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....Pages 1-12 An estimate of the lower bound of levi form and its applications....Pages 13-25 A global study of extremal surfaces in 3-dimensional Minkowski space....Pages 26-33 Lie transformation groups and differential geometry....Pages 34-52 The imbedding problem of Riemannian globally symmetric spaces of the compact type....Pages 53-66 A Willmore type problem for S 2 ×S 2 ....Pages 67-72 The integral formula of pontrjagin characteristic forms....Pages 73-79 Some stability results of harmonic map from a manifold with boundary....Pages 80-87 C k -bound of curvatures in Yang-Mills theory....Pages 88-95 Number theoretic analogues in spectral geometry....Pages 96-108 On the gauss map of submanifold in R n and S n ....Pages 109-129 Twistor constructions for harmonic maps....Pages 130-159 On two classes of hypersurfaces in a space of constant curvature....Pages 160-172 A constructive theory of differential algebraic geometry based on works of J.F. Ritt with particular applications to mechanical theorem-proving of differential geometries....Pages 173-189 Remarks on the fundamental group of positively curved manifolds....Pages 190-197 Liouville type theorems and regularity of harmonic maps....Pages 198-208 On absence of static yang-mills fields with variant mass....Pages 209-220 On the infinitesimal parallel displacement....Pages 221-227 Harmonic and Killing forms on complete Riemannian manifolds....Pages 228-243