Generalized manifolds : a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory

＜図書＞
Generalized manifolds : a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory

責任表示	Karl-Georg Schlesinger
シリーズ	Pitman research notes in mathematics series ; 372
データ種別	図書
出版情報	Harlow, Essex, England : Longman , 1997
本文言語	英語
大きさ	116 p. ; 25 cm
概要	In this Research Note, a generalization of the subject of differential geometry is developed, using techniques and results of nonstandard analysis. This generalization is found to correspond to appro...imations of classical manifolds by set-theoretic near manifold structures. Schlesinger develops several applications of the theory in the fields of topological dynamical systems, the question of stability of geodesic incompleteness (which is relevant to the problem of singularities in general relativity) and the deformation theory of manifolds. In the latter case, deformations induced by first cohomology can be introduced without encountering the restriction to compact manifolds as in the case of classical Kodaira-Spencer theory. This new deformation theory is then applied to a problem in twistor theory, thereby achieving a generalization of the nonlinear graviton construction of Penrose. 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
	: uk	理系図3F 数理独自	SCHL/35/1	1997		023211997011161		予約・取寄			予約・取寄
	: uk	芸工図 2F 書架	410.8/R28/372	1997		072032197003518		予約・取寄			予約・取寄

一般注記	Bibliography: p. 111-113 Includes index
著者標目	*Schlesinger, Karl-Georg
件　名	LCSH:Differentiable dynamical systems
分　類	NDC8:414.7 LCC:QA614.8 DC20:515/.352
書誌ID	1000925940
ISBN	0582320003
NCID	BA32667818
巻冊次	ISBN:0582320003
登録日	2009.09.16
更新日	2009.11.02