This monograph provides some useful tools for performing global
geometric analysis on real analytic manifolds. Â 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. Â 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.
General
Imprint: |
Springer International Publishing AG
|
Country of origin: |
Switzerland |
Series: |
Lecture Notes in Mathematics, 2333 |
Release date: |
October 2023 |
First published: |
2023 |
Authors: |
Andrew D Lewis
|
Dimensions: |
235 x 155mm (L x W) |
Pages: |
276 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-137912-3 |
Categories: |
Books
|
LSN: |
3-03-137912-8 |
Barcode: |
9783031379123 |
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