Progress In Differential Geometry/advanced Studies In Pure And Applied Mathematics Tokyo Japan 22 (advanced Studies In Pure Mathematics)

Compactification of submanifolds in Euclidean space by the inversion by K. Enomoto Gauss maps of complete minimal surfaces by H. Fujimoto Applications of Jacobi and Riccati equations along flows to Riemannian geometry by N. Innami Maslov class of an isotropic map-germ arising from one-dimensional symplectic reduction by G. Ishikawa On symmetry groups of the MIC-Kepler problem and their unitary irreducible representations by T. Iwai and Y. Uwano Geometric singularities for Hamilton-Jacobi equation by S. Izumiya Characterization of images of Radon transforms by T. Kakehi and C. Tsukamoto A uniqueness result for minimal surfaces in $S^3$ by M. Koiso Self-dual Einstein Hermitian surfaces by T. Koda and K. Sekigawa Non-commutative complex projective space by H. Omori, Y. Maeda, and A. Yoshioka Some remarks on fields of $2$-planes on compact smooth $4$-manifolds by Y. Matsushita A note on Lie contact manifolds by R. Miyaoka Rational solutions of the Ernst equation by K. Nagatomo Submanifolds of symmetric spaces and Gauss maps by H. Naitoh Lax equations associated with a least squares problem and compact Lie algebras by Y. Nakamura Green function on self-similar trees by M. Okada On a theorem of Edmonds by K. Ono On the $L^2$ cohomology groups of isolated singularities by T. Ohsawa A geometric construction of Laguerre-Forsyth's canonical forms of linear ordinary differential equations by Y. Se-ashi The length function of geodesic parallel circles by K. Shiohama and M. Tanaka Diameter and area estimates for $S^2$ and $P^2$ with nonnegatively curved metrics by T. Shioya On the poles of Riemannian manifolds of nonnegative curvature by K. Sugahara Bubbling of minimizing sequences for prescribed scalar curvature problem by S. Takakuwa Geometry of Laplace-Beltrami operator on a complete Riemannian manifold by H. Urakawa Super Lie groups by K. Yagi Differential systems associated with simple graded Lie algebras by K. Yamaguchi Tits metric and visibility axiom by T. Yamaguchi Covers differential geometry and global analysis, areas in which Japanese differential geometers have made great progress. This book surveys open problems in differential geometry, including Green functions and Liouville type theorems. It also deals with the Lie algebra of infinitesimal automorphisms of a differential system on a manifold.