Description

Book Synopsis
Applies infinite-dimensional manifold theory to the Morse theory of closed geodesics in a Riemannian manifold. This volume then describes the problems encountered when extending this theory to maps from surfaces instead of curves. It also treats critical point theory for closed parametrized minimal surfaces in a compact Riemannian manifold.

Trade Review
This book provides a thoughtful introduction to classical geometric applications of global analysis in the context of geodesics and minimal surfaces...it would be a good choice of textbook for a graduate topics course that provides a more classical overview of the area." — Renato G. Bettiol, Mathematical Reviews

Table of Contents
  • Infinite-dimensional manifolds
  • Morse theory of geodesics
  • Topology of mapping spaces
  • Harmonic and minimal surfaces
  • Generic metrics
  • Bibliography
  • Index

    Introduction to Global Analysis Minimal Surfaces

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      A Hardback by John Douglas Moore

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        Publisher: MP-AMM American Mathematical
        Publication Date: 1/30/2018 12:00:00 AM
        ISBN13: 9781470429508, 978-1470429508
        ISBN10: 1470429500

        Description

        Book Synopsis
        Applies infinite-dimensional manifold theory to the Morse theory of closed geodesics in a Riemannian manifold. This volume then describes the problems encountered when extending this theory to maps from surfaces instead of curves. It also treats critical point theory for closed parametrized minimal surfaces in a compact Riemannian manifold.

        Trade Review
        This book provides a thoughtful introduction to classical geometric applications of global analysis in the context of geodesics and minimal surfaces...it would be a good choice of textbook for a graduate topics course that provides a more classical overview of the area." — Renato G. Bettiol, Mathematical Reviews

        Table of Contents
        • Infinite-dimensional manifolds
        • Morse theory of geodesics
        • Topology of mapping spaces
        • Harmonic and minimal surfaces
        • Generic metrics
        • Bibliography
        • Index

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