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＜E-Book＞
Geometric Analysis on Real Analytic Manifolds / by Andrew D. Lewis
(Lecture Notes in Mathematics. ISSN:16179692 ; 2333)

Edition	1st ed. 2023.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2023
Language	English
Size	XV, 314 p : online resource
Authors	*Lewis, Andrew D author SpringerLink (Online service)
Subjects	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential FREE:Global Analysis and Analysis on Manifolds FREE:Differential Geometry
Notes	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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