几何与分析中的最新进展
- 资料名称：几何与分析中的最新进展
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资料介绍
几何与分析中的最新进展
出版时间：2012年版
内容简介
《几何与分析中的最新进展》汇集了微分几何、几何分析、微分方程等方面一些综述性文章或最新进展研究成果，特别有益于几何、分析专业的硕士生、博士生以及刚刚开始从事这些领域研究的数学工作者，对在相关领域工作的其他数学工作者也很有参考价值。
目录
Minimal Volume and Simplicial Volume of Visibility n-manifolds and
All 3-manifolds
1 Introduction
2 Simplicial Volume and Bounded Cohomology
3 Visibility Manifolds and Gromov-hyperbolic Spaces
4 Gromov's Simplicial Volume of Visibility n，-manifolds and
Compact 3-manifolds.
References
Rigidity Theorems for Lagrangian Submanifolds of Complex Space Forms with Conformal Maslov Form
1 Introduction
2 Preliminaries .
3 Rigidity Theorems for Lagrangian Submanifolds
References
Method of Moving Planes in Integral Forms and Regularity Lifting
1 Introduction
2 Illustration of MMP in Integral Forms
3 Various Applications of MMP in Integral Forms .
4 Regularity Lifting by Contracting Operators .
5 Regularity Lifting by Combinations of Contracting and
Shrinking Operators
References
The Ricci Curvature in Finsler Geometry Definitions and Notations
2 Ricci Curvature of Randers Metrics .
3 Volume Comparison in Finsler Geometry
4 The Role of the Ricci Curvature in Projective Geometry
Specific Non-Kahler Hermitian Metrics on Compact Complex
Manifolds
1 Introduction
2 Balanced Metrics Under the Conifold Trlansition
3 The Supersymmetric Solutions
4 The Form-type Calabi-Yau Equation
5 The Generalized Gauduchon Metrics
References .
On the O2-scalar Curvature and Its Applications
1 Introduction
2 O2-Yamabe Problem
3 A Quotient Equation.
4 Ellipticity of a Quotient Equation and a 3-dimensional
Sphere Theorem
5 A Rough Classification of Metrics of Positive Scalar Curvature
6 An Almost Schur Theorem
References.
Isometric Embedding of Surfaces in R3
Introduction
2 Locallsometric Embedding of Surfaces.
3 Global Isometric Embedding of Surfaces.
References
The Lagrangian Mean Curvature Flow Along the Kahler-Ricci Flow
1 Introduction，
2 Lagrangian Property Is Preserved
References
On Magnetohydrodynamics with Partial Magnetic Dissipation
near Equilibrium
Introduction
2 Reformulation of the Ideal MHD
3 Global Existence
4 Acknowledgement
Hyperbolic Gradient Flow： Evolution of Graphs in Rn+1
The Moser-Trudinger and Adams Inequalities and Elliptic and Subelliptic Equations with Nonlinearity of Exponential Growth
Navigation Problem and Randers Metrics
Lorentzian Isoparametric Hypersurfaces in the LorentzianSphere s（n+1）1
Asymptotically Hyperbolic Manifolds and Conformal Geometry
A Characterization of Randers Metrics of Scalar Flag Curvature
Prescribed Weingarten Curvature Equations
Geometry Problems Related with Quasi-local Mass in General Relativity
Concerning the /4 Norms of Typical Eigenfunctions on Compact Surfaces
Analysis on Riemannian Manifolds with Non-convex Boundary
The Unity of p-harmonic Geometry
Hermitian Harmonic Maps Between Almost Hermuitian Manifolds
A Global Mean Value Inequality for Plurisubharmonic Functions
on a Compact Kahler Manifold
A List of Publications by Professor Zhengguo Bai
A List of Publications by Professor Yibing Shen
A List of Graduate Students of Professors Bai and Shen
出版时间：2012年版
内容简介
《几何与分析中的最新进展》汇集了微分几何、几何分析、微分方程等方面一些综述性文章或最新进展研究成果，特别有益于几何、分析专业的硕士生、博士生以及刚刚开始从事这些领域研究的数学工作者，对在相关领域工作的其他数学工作者也很有参考价值。
目录
Minimal Volume and Simplicial Volume of Visibility n-manifolds and
All 3-manifolds
1 Introduction
2 Simplicial Volume and Bounded Cohomology
3 Visibility Manifolds and Gromov-hyperbolic Spaces
4 Gromov's Simplicial Volume of Visibility n，-manifolds and
Compact 3-manifolds.
References
Rigidity Theorems for Lagrangian Submanifolds of Complex Space Forms with Conformal Maslov Form
1 Introduction
2 Preliminaries .
3 Rigidity Theorems for Lagrangian Submanifolds
References
Method of Moving Planes in Integral Forms and Regularity Lifting
1 Introduction
2 Illustration of MMP in Integral Forms
3 Various Applications of MMP in Integral Forms .
4 Regularity Lifting by Contracting Operators .
5 Regularity Lifting by Combinations of Contracting and
Shrinking Operators
References
The Ricci Curvature in Finsler Geometry Definitions and Notations
2 Ricci Curvature of Randers Metrics .
3 Volume Comparison in Finsler Geometry
4 The Role of the Ricci Curvature in Projective Geometry
Specific Non-Kahler Hermitian Metrics on Compact Complex
Manifolds
1 Introduction
2 Balanced Metrics Under the Conifold Trlansition
3 The Supersymmetric Solutions
4 The Form-type Calabi-Yau Equation
5 The Generalized Gauduchon Metrics
References .
On the O2-scalar Curvature and Its Applications
1 Introduction
2 O2-Yamabe Problem
3 A Quotient Equation.
4 Ellipticity of a Quotient Equation and a 3-dimensional
Sphere Theorem
5 A Rough Classification of Metrics of Positive Scalar Curvature
6 An Almost Schur Theorem
References.
Isometric Embedding of Surfaces in R3
Introduction
2 Locallsometric Embedding of Surfaces.
3 Global Isometric Embedding of Surfaces.
References
The Lagrangian Mean Curvature Flow Along the Kahler-Ricci Flow
1 Introduction，
2 Lagrangian Property Is Preserved
References
On Magnetohydrodynamics with Partial Magnetic Dissipation
near Equilibrium
Introduction
2 Reformulation of the Ideal MHD
3 Global Existence
4 Acknowledgement
Hyperbolic Gradient Flow： Evolution of Graphs in Rn+1
The Moser-Trudinger and Adams Inequalities and Elliptic and Subelliptic Equations with Nonlinearity of Exponential Growth
Navigation Problem and Randers Metrics
Lorentzian Isoparametric Hypersurfaces in the LorentzianSphere s（n+1）1
Asymptotically Hyperbolic Manifolds and Conformal Geometry
A Characterization of Randers Metrics of Scalar Flag Curvature
Prescribed Weingarten Curvature Equations
Geometry Problems Related with Quasi-local Mass in General Relativity
Concerning the /4 Norms of Typical Eigenfunctions on Compact Surfaces
Analysis on Riemannian Manifolds with Non-convex Boundary
The Unity of p-harmonic Geometry
Hermitian Harmonic Maps Between Almost Hermuitian Manifolds
A Global Mean Value Inequality for Plurisubharmonic Functions
on a Compact Kahler Manifold
A List of Publications by Professor Zhengguo Bai
A List of Publications by Professor Yibing Shen
A List of Graduate Students of Professors Bai and Shen