几何与分析中的最新进展

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

《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。