E-Books →Geometric Analysis on Real Analytic Manifolds (Lecture Notes in Mathematics)

Free Download Geometric Analysis on Real Analytic Manifolds (Lecture Notes in Mathematics) by Andrew D. Lewis
English | November 8, 2023 | ISBN: 3031379128 | 332 pages | MOBI | 62 Mb
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.