Progress in differential geometry
著者
書誌事項
Progress in differential geometry
(Advanced studies in pure mathematics, 22)
Published for the Mathematical Society of Japan by Kinokuniya Co., c1993
大学図書館所蔵 全76件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
This volume brings together twenty-five research papers and two survey articles on differential geometry and global analysis, areas in which Japanese differential geometers have recently made great progress. Urakawa's paper is a deep and comprehensive survey on recent results and open problems in differential geometry, including Green functions and Liouville type theorems. Yamaguchi's survey deals with the Lie algebra of all infinitesimal automorphisms of a differential system on a manifold and presents basic material on the geometry of differential systems and simple graded Lie algebras over the real or complex numbers. The research articles cover such topics as minimal surfaces, submanifold theory, analysis on manifolds, $L^2$-cohomology theory, and Riemannian geometry. This book will appeal to mathematicians interested in modern differential geometry, as well as to graduate students who are looking for a good overview of some of the main trends in this field.
目次
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.
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