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Geometric Analysis on Real Analytic Manifolds

Geometric Analysis on Real Analytic Manifolds

Paperback

Series: Lecture Notes in Mathematics, Book 2333

General MathematicsGeometry

ISBN10: 3031379128
ISBN13: 9783031379123
Publisher: Springer Nature
Published: Nov 8 2023
Pages: 314
Weight: 1.03
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
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.

Also from

Lewis, Andrew D.

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General Mathematics