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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


理系図3F 数理独自 023212007001236 SHIM/3/2 2007

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

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