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Geometric analysis on real analytic manifolds / / Andrew D. Lewis



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Autore: Lewis Andrew D. Visualizza persona
Titolo: Geometric analysis on real analytic manifolds / / Andrew D. Lewis Visualizza cluster
Pubblicazione: Cham : , : Springer, , [2023]
©2023
Descrizione fisica: 1 online resource (323 pages)
Disciplina: 514.74
Soggetto topico: Global analysis (Mathematics)
Manifolds (Mathematics)
Geometry, Differential
Global Analysis and Analysis on Manifolds
Differential Geometry
Anàlisi global (Matemàtica)
Varietats (Matemàtica)
Geometria diferencial
Soggetto genere / forma: Llibres electrònics
Nota di bibliografia: Includes bibliographical references and index.
Sommario/riassunto: 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.
Titolo autorizzato: Geometric Analysis on Real Analytic Manifolds  Visualizza cluster
ISBN: 3-031-37913-6
9783031379130
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996565864603316
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 2333.