Moduli Spaces of ProjectiveManifoldsGeometric Analysis combines differential equations anddifferential geometry. An important aspect is to solve geometricproblems by studying differential equations.Besides some knownlinear differential operators such as the Laplace operator，manydifferential equations arising from differential geometry arenonlinear. A particularly important example is the Monge-Ampreequation. Applications to geometric problems have also motivatednew methods and techniques in differential equations. The field ofgeometric analysis is broad and has had many striking applications.This handbook of geometric analysis provides introductions to andsurveys of important topics in geometric analysis and theirapplications to related fields which is intend to be referred bygraduate students and researchers in related areas.
作者簡介
暫缺《Handbook of Geometric Analysis》作者簡介
圖書目錄
Numerical Approximations to Extremal Metrics on Toric Surfaces R. S. Bunch, Simon K. Donaldson I 1 Introduction 2 The set-up 2.1 Algebraic metrics 2.2 Decomposition of the curvature tensor 2.3 Integration 3 Numerical algorithms: balanced metrics and refinedapproximations. 4 Numerical results 4.1 The hexagon 4.2 The pentagon 4.3 The octagon 4.4 The heptagon 5 Conclusions ReferencesKiihler Geometry on Toric Manifolds, and some other Manifolds withLarge SymmetryGlning Constructions of Special Lagrangian ConesHarmonic MappingsHarmonic Functions on Complete Riemannian ManifoldsComplexity of Solutions of Partial Differential EquationsVariational Principles on Triangulated SurfacesAsymptotic Structures in the Geometry of Stability and ExtremalMetricsStable Constant Mean Curvature SurfacesA General Asymptotic Decay Lemma for Elliptic ProblemsUniformization of Open Nonnegatively Curved K／ihler Manifolds inHigher DimensionsGeometry of Measures：Harmonic Analysis Meets Geometric MeasureTheoryThe Monge Ampere Eequation and its Geometric AapplicationsLectures on Mean Curvature Flows in Higher CodimensionsLocal and Global Analysis of Eigenfunctions on Riemannian ManifoldsYau’S Form of Schwarz Lemma and Arakelov Inequality On
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