Harmonic Maps and Differential Geometry.

Intro -- Contents -- Preface -- List of Participants -- Thirty-nine Years of Harmonic Maps -- Constant Mean Curvature Surfaces: An Integrable Systems Perspective -- Explicit Constructions of Harmonic Maps -- Discrete Harmonic Map Heat Flow on a Finite Graph -- Contact Pairs and Locally Conformally Symplectic Structures -- Congruence Curves of the Goldstein-Petrich Flows -- Differential Geometry of Lagrangian Submanifolds and Hamiltonian Variational Problems -- A Report on Locally Conformally Kähler Manifolds -- 1. Locally conformally Kähler manifolds -- 1.1. Examples -- 1.1.1. Diagonal Hopf manifolds -- 1.1.2. Compact complex surfaces -- 1.1.3. Oeljeklaus-Toma manifolds -- 2. Locally conformally Kähler manifolds with potential -- 2.1. Vaisman manifolds -- 3. Transformation groups of LCK manifolds -- References -- k−Hessian Differential Inequalities and the Compact Support Principle -- The Geometry of Biharmonic Maps -- Constructing Metrics with Prescribed Geometry -- On the Regularity of the Space of Harmonic 2-spheresin the 4-sphere -- Conformal Fibrations of S3 by Circles -- Harmonic Map Methods for Willmore Surfaces -- Some Remarks on Invariant Surfaces and Their Extrinsic Curvature -- Harmonic and Biharmonic Maps from Surfaces -- Non-divergence Harmonic Maps -- A Note on Higher-charge Configurations for the Faddeev-Hopf Model -- A Survey on the DDVV Conjecture -- On the Characteristic Foliations of Metric Contact Pairs -- A Note on η-Einstein Manifolds -- Minimal and Flat Surfaces in H2 × R with Canonical Coordinates -- Ricci Curvature Properties and Stability on 3-dimensional Kenmotsu Manifolds -- On the Existence of Harmonic Morphisms from Three-dimensional Lie Groups.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.