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Geometric analysis on real analytic manifolds / Andrew D. Lewis.
Author
Lewis, Andrew D.
[Browse]
Format
Book
Language
English
Published/Created
Cham, Switzerland : Springer, [2023]
©2023
Description
xv, 312 pages : illustrations ; 24 cm
Details
Subject(s)
Manifolds (Mathematics)
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Geometric analysis
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Series
Lecture notes in mathematics (Springer-Verlag) ; no. 2333.
[More in this series]
Lecture notes in mathematics ; volume 2333
Summary note
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.
Bibliographic references
Includes bibliographical references (pages 305-307) and index.
ISBN
3031379128
9783031379123
OCLC
1389878669
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Geometric analysis on real analytic manifolds / Andrew D. Lewis.
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99129142967406421