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1.

図書
図書
1. Riemannian geometry and geometric analysis. 2nd ed
Jürgen Jost
出版情報: Berlin ; New York : Springer, c1998  xiii, 455 p. ; 24 cm
シリーズ名: Universitext
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2.

図書
図書
2. New directions in Dirichlet forms
Jürgen Jost ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society , [Cambridge] : International Press, c1998  xiv, 277 p. ; 27 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 8
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3.

図書
図書
3. Compact Riemann surfaces : an introduction to contemporary mathematics (: pbk)
Jürgen Jost ; translated by R.R. Simha
出版情報: Berlin : Springer, c1997  xiv, 291 p. ; 24 cm
シリーズ名: Universitext
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目次情報: 続きを見る
Preface
Topological Foundations / 1：
Manifolds and Di erentiable Manifolds / 1.1：
Homotopy of Maps. The Fundamental Group / 1.2：
Coverings / 1.3：
Global Continuation of Functions on Simply-Connected Manifolds / 1.4：
Di erential Geometry of Riemann Surfaces / 2：
The Concept of a Riemann Surface / 2.1：
Some Simple Properties of Riemann Surfaces / 2.2：
Metrics on Riemann Surfaces / 2.3：
Triangulations of Compact Riemann Surfaces / 2.3.A：
Discrete Groups of Hyperbolic Isometries. Fundamental Polygons. Some Basic Concepts of Surface Topology and Geometry / 2.4：
The Topological Classi cation of Compact Riemann Surfaces / 2.4.A：
The Theorems of Gauss-Bonnet and Riemann-Hurwitz / 2.5：
A General Schwarz Lemma / 2.6：
Conformal Structures on Tori / 2.7：
Harmonic Maps / 3：
Review: Banach and Hilbert Spaces. The Hilbert Space L2 / 3.1：
The Sobolev Space W 1; 2 = H1; 2 / 3.2：
The Dirichlet Principle. Weak Solutions of the Poisson Equation / 3.3：
Harmonic and Subharmonic Functions / 3.4：
The C -Regularity Theory / 3.5：
Maps Between Surfaces. The Energy Integral. De nition and Simple Properties of Harmonic Maps / 3.6：
Existence of Harmonic Maps / 3.7：
Regularity of Harmonic Maps / 3.8：
Uniqueness of Harmonic Maps / 3.9：
Harmonic Di eomorphisms / 3.10：
Metrics and Conformal Structures / 3.11：
Teichmuller Spaces / 4：
The Basic De nitions / 4.1：
Harmonic Maps, Conformal Structures and Holomorphic Quadratic Di erentials. TeichmullerÆs Theorem / 4.2：
Fenchel-Nielsen Coordinates. An Alternative Approach to the Topology of Teichmuller Space / 4.3：
Uniformization of Compact Riemann Surfaces / 4.4：
Geometric Structures on Riemann Surfaces / 5：
Preliminaries: Cohomology and Homology Groups / 5.1：
Harmonic and Holomorphic Di erential Forms on Riemann Surfaces / 5.2：
The Periods of Holomorphic and Meromorphic Di erential Forms / 5.3：
Divisors. The Riemann-Roch Theorem / 5.4：
Holomorphic 1-Forms and Metrics on Compact Riemann Surfaces / 5.5：
Divisors and Line Bundles / 5.6：
Projective Embeddings / 5.7：
Algebraic Curves / 5.8：
AbelÆs Theorem and the Jacobi Inversion Theorem / 5.9：
Elliptic Curves / 5.10：
Sources and References
Bibliography
Index of Notation
Index
Preface
Topological Foundations / 1：
Manifolds and Di erentiable Manifolds / 1.1：
4.

図書
図書
4. Riemannian geometry and geometric analysis (: us ; : gw)
Jürgen Jost
出版情報: Berlin ; New York : Springer-Verlag, c1995  xi, 401 p. ; 24 cm
シリーズ名: Universitext
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5.

図書
図書
5. Two-dimensional geometric variational problems
Jürgen Jost
出版情報: Chichester ; New York : J. Wiley, c1991  x, 236 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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