本書內(nèi)容有:Huai-Dong Cao:Recent Progress on Ricci Solitons;Lei Ni:Closed Type I Ancient Solutions to Ricci Flow等。
"2007 International Conference in Geometric Analysis"was held in TaiwanUniversity from June 18th to 22nd,2007.This conference is sponsored by Math-ematics Division,Center for Theoretical Sciences(NCTS)Taipei Office,TaidaInstitute for Mathematical Sciences(TIMS),Academia Sinica,Central Universityand Tsing-Hua University(Xinzu).
Geometric analysis studies functions,maps,tensors,and submanifolds gov-erned by natural differential equations.A good understanding of these objects re-veals important information of analytical and geometric structures,and has manyimplications in physics,algebraic geometry and topology.
In recent years,we have witnessed a great success of geometric analysis,themost important event being the solution of the Poincare conjecture by the Ricciflow.This shows the power of geometric partial differential equations in resolvingsome deepest problems in topology.
Preface.
Huai-Dong Cao: Recent Progress on Ricci Solitons
Jianguo Cao, Bo Dai, and Jiaqiang Mei: An Optimal Extension of Perelman's Comparison Theorem for Quadrangles and its Applications
Der-Chen Chang and Stephen S.-T. Yau: Geometric Analysis on a Family of Pseudoconvex Hypersurfaces
Shanyu Ji: A New Proof for Faran's Theorem on Maps Between B2 and Ba3
Spiro Karigiannis: Some Notes on G2 and Spin(7) Geometry
Lei Ni: Closed Type I Ancient Solutions to Ricci Flow
John Loftin and Mao-Pei Tsui: Limits of Solutions to a Parabolic Monge-Ampere Equation
Chang-Shou Lin and Chin-Lung Wang: A Function Theoretic View of the Mean Field Equations on Tori
Siu-Cheong Lau and Naichung Conan Leung: Conformal Geometry and Special Holonomy
Luen-Fai Tam: Exhaustion Functions on Complete Manifolds
Sumio Yamada: On Singular Plateau Problem