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＜図書＞
The geometry of Hessian structures
| 責任表示 | Hirohiko Shima |
|---|---|
| データ種別 | 図書 |
| 出版者 | Singapore : World Scientific |
| 出版年 | c2007 |
| 本文言語 | 英語 |
| 大きさ | xiv, 246 p. ; 24 cm |
| 概要 | A Riemannian metric on a flat manifold is called a "Hessian metric" if it is locally expressed by the Hessian of functions with respect to the affine coordinate systems. A pair of a flat structure and...a Hessian metric is called a "Hessian structure," and a manifold with a Hessian structure is called a "Hessian manifold." This new field of research, which is closely allied to Kahlerian geometry, is also related to affine differential geometry, homogeneous spaces and cohomology. Shima (mathematics, Yamaguchi U.) focuses on theory as he explains affine spaces and connections, Hessian structures, including their relations with Kahlerian and Codazzi structures, curvatures for Hessian structures, regular convex cones, Hessian structures and affine differential geometry, Hessian structures and information geometry, the cohomology of flat manifolds, compact Hessian manifolds, symmetric spaces with invariant Hessian structures, homogeneous spaces with invariant Hessian structures, and homogeneous spaces with invariant projectively flat connections. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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理系図3F 数理独自 | SHIM/3/2 | 2007 |
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023212007001236 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 237-241) and index |
|---|---|
| 著者標目 | 志磨, 裕彦(1941-) <シマ, ヒロヒコ> |
| 件 名 | LCSH:Geometry, Differential LCSH:Homology theory LCSH:Homogeneous spaces LCSH:Manifolds (Mathematics) |
| 分 類 | LCC:QA641 DC22:516.36 |
| 書誌ID | 1001228564 |
| ISBN | 9789812700315 |
| NCID | BA81552277 |
| 巻冊次 | ISBN:9789812700315 ; XISBN:9812700315 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |