The geometry of geodesics

＜図書＞
The geometry of geodesics

責任表示	Herbert Busemann
データ種別	図書
出版者	Mineola, New York : Dover Publications, Inc.
出版年	2005
本文言語	英語
大きさ	x, 422 p. ; 22 cm
概要	A comprehensive approach to qualitative problems in intrinsic differential geometry, this text for upper-level undergraduates and graduate students emphasizes cases in which geodesics possess only loc...l uniqueness properties-and consequently, the relations to the foundations of geometry are decidedly less relevant, and Finsler spaces become the principal subject. This direct approach has produced many new results and has materially generalized many known phenomena. Author Herbert Busemann begins with an explanation of the basic concepts, including compact metric spaces, convergence of point sets, motion and isometry, segments, and geodesics. Subsequent topics include Desarguesian spaces, with discussions of Riemann and Finsler spaces and Beltrami's theorem; perpendiculars and parallels, with examinations of higher-dimensional Minkowskian geometry and the Minkowski plane; and covering spaces, including locally isometric space, the universal covering space, fundamental sets, free homotopy and closed geodesics, and transitive geodesics on surfaces of higher genus. Concluding chapters explore the influence of the sign of the curvature on the geodesics, and homogenous spaces, including those with flat bisectors. Book jacket.続きを見る

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
		中分セ研究室	512/B 95	2005		095212005000394

一般注記	Includes index "This Dover edition, first published in 2005, is an unabridged republication of the work originally published in 1955 by Academic Press, Inc., New York."
著者標目	*Busemann, Herbert, 1905-
分　類	NDC8:512
書誌ID	1001292016
ISBN	0486442373
NCID	BA73247391
巻冊次	ISBN:0486442373
登録日	2009.09.18
更新日	2009.09.18