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Harmonic Mappings Between Riemannian Manifolds by Jürgen Jost is a nonfiction available to read on EtoBox.

What is Harmonic Mappings Between Riemannian Manifolds about?

1. INTRODUCTION 1.1 A short history of variational principles. 1 ~ The concept of geodesics. 1.3 Definition and some elementary properties of harmonic maps. 1.4 Mathematical problems arising from the concep~c of harmonic maps. 1.5 Some examples of harmonic maps. L 6 Some applica-tions of harmonic maps. 1. 7 Composition properties of harmonic maps. 2. GEOMETRIC PRELIMINARIES Almost linear functions, approximate fundamental solutions, and r·epr·esentation formulae. Harmonic coordinates. 2.1 outline of the chapter. 2. 2 Jacobi field estima-tes. 2.3 Applications to geodesic constructions. 2.4 Conv~~ity of geodesic balls. 2.5 The distance as a function of two variables. 2. 6 Almos-t 1 in ear functions. 2.7 Approximate fundamental solutions and representation formulae. 2. 8 Regularity properties of coordinates. Harmonic coordinates. 3. THE HEAT FLOVJ METHOD Existence, regularity, and uniqueness results for a nonpositively curved image. 3.1 Approaches to the existence and regularity question. 3.2 Short time existence. 3. 3 Estima-tes for the energy density of the heat flow. 3.4 The stability lemma of Hartman. 3.5 A bound for the time derivative. 3.6 Global existence and convergence to a h

Who reads Harmonic Mappings Between Riemannian Manifolds?

It is typically read by self-directed learners exploring a subject in depth.

Common subject areas: history, science, philosophy, social sciences.

Author
Jürgen Jost
Publisher
Centre for Mathematical Analysis, Australian National University
Published
1983
Language
EN
ISBN
9780867844030
Category
nonfiction
Subjects
Mathematics, Analysis, Stem

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