Selected papers of Masatake Kuranishi
著者
書誌事項
Selected papers of Masatake Kuranishi
World Scientific, c2013
大学図書館所蔵 全22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
Other editors: Gen Komatsu, Kimio Miyajima, Makoto Namba, Duong H. Phong, Keizo Yamaguchi
Includes bibliographical references
内容説明・目次
内容説明
This book is a selection of Masatake Kuranishi's papers. Born in 1924, Kuranishi produced deep and far-reaching results in geometry over his career. Of his voluminous contributions, this book focuses on his later works: (i) his work on locally complete families of deformation of compact complex manifolds. Kuranishi was first to prove the fundamental results of the existence of complete families whose parameter spaces are today called Kuranishi spaces. His result is highly influential in deformation theory of various geometric objects. (ii) His work on the local embedding problem of Cauchy-Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy-Riemann geometry. (iii) His work on Cartan Geometry and Szegö kernels. Mainly for his works on (i) and (ii), Kuranishi was awarded the Bergman Prize in 2000. Today, he is a professor emeritus of Columbia University.
目次
- On Euclidean Local Groups Satisfying Certain Conditions
- On Conditions of Differentiability of Locally Compact Groups
- On E Cartan's Prolongation Theorem of Exterior Differential Systems
- On the Local Theory of Continuous Infinite Pseudo Groups I
- On the Local Theory of Continuous Infinite Pseudo Groups II
- On the Locally Complete Families of Complex Analytic Structures
- New Proof for the Existence of Locally Complete Families of Complex Structures
- Strongly Pseudoconvex CR Structures over Small Balls: Part I, An a Priori Estimate
- Strongly Pseudoconvex CR Structures over Small Balls: Part II, A Regularity Theorem
- Strongly Pseudoconvex CR Structures over Small Balls: Part III, An Embedding Theorem
- Cartan Connections and CR Structures with Nondegenerate Levi-Form
- The Frame Bundles of CR Structures and the Bergman Kernel (I)
- The Frame Bundles of CR Structures and the Bergman Kernel (II)
- CR Geometry and Cartan Geometry
- CR Structures and F E Erman's Conformal Structures
- On a Priori Estimate on a Manifold with Singularity on the Boundary
- An Approach to the Cartan Geometry I: Conformal Riemann Manifolds
- The Formula for the Singularity of Szego Kernel: I
- An Approach to the Cartan Geometry II: CR Manifolds
- The Formula for the Singularity of Szego Kernel: II
- and other papers.
「Nielsen BookData」 より