02799nam 22005655 450 991076026480332120251008153705.09783031379130(ebook)303137913610.1007/978-3-031-37913-0(PPN)273590758(MiAaPQ)EBC30874610(Au-PeEL)EBL30874610(DE-He213)978-3-031-37913-0(CKB)28804932400041(EXLCZ)992880493240004120231107d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGeometric Analysis on Real Analytic Manifolds /by Andrew D. Lewis1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (323 pages)Lecture Notes in Mathematics,1617-9692 ;2333Print version: Lewis, Andrew D. Geometric Analysis on Real Analytic Manifolds Cham : Springer International Publishing AG,c2023 9783031379123 Includes bibliographical references and index.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.Lecture Notes in Mathematics,1617-9692 ;2333Global analysis (Mathematics)Manifolds (Mathematics)Geometry, DifferentialGlobal Analysis and Analysis on ManifoldsDifferential GeometryGlobal analysis (Mathematics)Manifolds (Mathematics)Geometry, Differential.Global Analysis and Analysis on Manifolds.Differential Geometry.514.74Lewis Andrew D.721268MiAaPQMiAaPQMiAaPQBOOK9910760264803321Geometric Analysis on Real Analytic Manifolds3600382UNINA