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

9783031379130 (electronic bk.)
3031379136 (electronic bk.)
9783031379123
3031379128

Cham : Springer, [2023]

©2023

English

1 online resource (xv, 314 pages).

10.1007/978-3-031-37913-0 doi

QA614

516/.07

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.

Includes bibliographical references and index.

Access limited to authorized users.

Lecture notes in mathematics (Springer-Verlag) ; 2333.

Print version: 9783031379123

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