Front Matter
 Minimal Volume and Simplicial Volume of Visibility n-manifolds and All 3-manifolds Jianguo Cao, Xiaoyang Chen
  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 Xiaoli Chao, Yuxin Dong
  1 Introduction
  2 Preliminaries
  3 Rigidity Theorems for Lagrangian Submanifolds
  References
 Method of Moving Planes in Integral Forms and Regularity LiftingWenxiong Chen, Congming Li
  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 Xinyue Cheng
  1 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
  References
 Specific Non-K¨ahler Hermitian Metrics on Compact Complex Manifolds Jixiang Fu
  1 Introduction
  2 Balanced Metrics Under the Conifold Transition
  3 The Supersymmetric Solutions
  4 The Form-type Calabi-Yau Equation
  5 The Generalized Gauduchon Metrics
  References
 On the _2-scalar Curvature and Its Applications Yuxin Ge, Guofang Wang
  1 Introduction
  2 _2-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 Qing Han
  1 Introduction
  2 Local Isometric Embedding of Surfaces
  3 Global Isometric Embedding of Surfaces
  References
 The Lagrangian Mean Curvature Flow Along the K¨ahler-Ricci Flow Xiaoli Han, Jiayu Li
  1 Introduction
  2 Lagrangian Property Is Preserved
  References
 On Magnetohydrodynamics with Partial Magnetic Dissipation near Equilibrium Xianpeng Hu, Zhen Lei, Fang-Hua Lin
  1 Introduction
  2 Reformulation of the Ideal MHD
  3 Global Existence
  4 Acknowledgement
  References
 Hyperbolic Gradient Flow: Evolution of Graphs in Rn+1 De-Xing Kong, Kefeng Liu
  1 Introduction
  2 Hyperbolic Gradient Flow for Graphs in Rn+1
  3 The Evolution of Convex Hypersurfaces in Rn+1
  4 The Evolution of Plane Curves
  5 Conclusions and Open Problems
  References
 The Moser-Trudinger and Adams Inequalities and Elliptic and Subelliptic Equations with Nonlinearity of Exponential Growth Nguyen Lam, Guozhen Lu
  1 Introduction
  2 The Moser-Trudinger Inequalities
  3 Adams Type Inequalities on High Order Sobolev Spaces
  4 N-Laplacian on Bounded Domains in RN
  5 Polyharmonic Equations on Bounded Domains in R2m
  6 N-Laplacian Equations with Critical Exponential Growth in RN
  7 Existence of Solutions to Polyharmonic Equations with Critical Exponential Growth in the Whole Space
  8 Subcritical Exponential Growth in Bounded Domains
  9 Equations of Q-sub-Laplacian Type with Critical Growth on Bounded Domains
  10 Equations of Q-sub-Laplacian Type with Critical Growth in Hn
  11 Examples of Nonlinear Terms Without the Ambrosetti- Rabinowitz Condition
  12 Sharp Moser-Trudinger Inequality on the Heisenberg Group at the Critical Case and Multiplicity of Solutions
  13 A New Approach to Sharp Adams Inequalities for Arbitrary Integers and Less Restrictive Norms
  References
 Navigation Problem and Randers Metrics Meng Li, Xiaohuan Mo, Ni Yu
  1 Historical Remarks and Definitions
  2 Navigation Problem
  3 Flag Curvature Decreasing Property of Navigation Problem
  4 New Finsler Metrics with Constant (Scalar) Flag Curvature from Old
  5 Geodesics of a Finsler Metric Via Navigation Problem
  6 A New Characterization of Randers Norms
  7 Compact Randers Metrics with Constant S-curvature
  8 Classification Results for Randers Metrics
  9 Construction of Randers Metrics with Isotropic S-curvature
  References
 Lorentzian Isoparametric Hypersurfaces in the Lorentzian Sphere Sn+11 Zhen-Qi Li
  1 Introduction
  2 Canonical Forms for Symmetric Transformation A in
  Lorentzian Space
  3 Lorentzian Isoparametric Hypersurface of Type I in Sn+1 1
  4 Nonexistence of Lorentzian Isoparametric Hypersurface of Type IV in Sn+1 1
  5 Lorentzian Isoparametric Hypersurface of Type II in Sn+11
  6 Totally Umbilical Lorentzian Isoparametric Hypersurface of Type II in Sn+1
  7 Semi-umbilical Lorentzian Isoparametric Hypersurface of Type II in Sn+1
  8 Non-umbilical Lorentzian Isoparametric Hypersurface of Type II in Sn+1
  References
 Asymptotically Hyperbolic Manifolds and Conformal Geometry Jie Qing
  1 Definitions
  2 Regularity and Rigidity for AH Manifold
  3 Correspondences
  4 Generalized Yamabe Problems
  References
 A Characterization of Randers Metrics of Scalar Flag Curvature Zhongmin Shen, Gulcin Civi
  1 Introduction
  2 Preliminaries
  3 A Formula for the Weyl Curvature
  4 Proof of Theorem 1.1
  5 Weak Einstein Metrics
  6 Proof of Theorem 1.2
  References
 Prescribed Weingarten Curvature Equations Weimin Sheng, Neil S Trudinger, Xu-Jia Wang
  1 Introduction
  2 The Uniform Estimate
  3 The Gradient Estimates
  4 The Second Order Derivative Estimate
  5 The Dirichlet Problem
  6 Closed Convex Hypersurfaces
  References
 Geometry Problems Related with Quasi-local Mass in General Relativity Yuguang Shi
  1 Introduction
  2 Quasi-local Mass on Domains with Convex Boundaries
  3 Quasi-local Mass on Domains with Non Convex Boundary
  References
 Concerning the L4 Norms of Typical Eigenfunctions on Compact Surfaces Christopher D Sogge, Steve Zelditch
  1 Introduction
  2 L4 Norms of Generic Eigenfunctions
  3 Average L4 Norms of Spherical Harmonics
  4 L4 Norms of Orthonormal Bases of Spherical Harmonics
  5 Random Orthonormal Bases of Spherical Harmonics
  6 Other Orthonormal Bases
  References
 Analysis on Riemannian Manifolds with Non-convex Boundary Feng-Yu Wang
  1 Introduction
  2 Semigroup Properties for Curvature and Second
  Fundamental Form
  3 Dimension-free Harnack Inequalities
  4 Functional Inequalities
  References
 The Unity of p-harmonic Geometry Shihshu Walter Wei
  1 Introduction
  2 A Perspective of p-harmonic Maps
  3 p-Harmonic Maps and Cohomology Groups
  4 Unified Notions of F-harmonic Maps
  5 Unified Notions of F-Yang-Mills Fields
  6 Vector Bundle Valued p-forms on Riemannian Manifolds:A Higher Level of Generalization
  7 Manifolds with the Global Doubling Property in p-harmonic Geometry
  8 Generalized 1-harmonic Equations and Geometric Flows
  9 The Mean Curvature Flow
  10 Generalized Constant Mean Curvature Type Equations for Differential Forms
  11 Geometric Inequalities on Manifolds
  12 Harmonic Maps in Finsler Geometry
  References
 Hermitian Harmonic Maps Between Almost Hermitian Manifolds Xi Zhang
  1 Introduction
  2 Preliminary Results
  3 Proof of Theorem 1.1
  References
 A Global Mean Value Inequality for Plurisubharmonic Functions on a Compact K¨ahler Manifold Xiaohua Zhu
  1 Introduction
  2 Relative Capacity and L1-estimate
  3 Proof of Theorem 1.1
  4 A Discussion on Theorem 1.1
  References
 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
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