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＜電子ブック＞
Geometric Analysis on Real Analytic Manifolds / by Andrew D. Lewis
(Lecture Notes in Mathematics. ISSN:16179692 ; 2333)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XV, 314 p : online resource
著者標目	*Lewis, Andrew D author SpringerLink (Online service)
件　名	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential FREE:Global Analysis and Analysis on Manifolds FREE:Differential Geometry
一般注記	This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings. Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry HTTP:URL=https://doi.org/10.1007/978-3-031-37913-0

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