Now let me welcome everybody to the wild, wild west.
- From "California Love" by Tupac Shakur featuring Dr. Dre
We would like to thank our colleagues, some of whom have been named
in previous volumes, for their help, support, and encouragement.
We would like to especially thank Ed Dunne for his tireless efforts and
patience in making the publication of our expository works on Ricci flow
possible through the American Mathematical Society. We would like to
thank the editors of the Mathematical Surveys and Monographs series. We
would like to thank Cristin Zanella for her assistance. Special thanks to
Arlene O'Sean for her expert copy editing.
During the preparation of this volume, Bennett Chow was partially
supported by NSF grants DMS-9971891, DMS-020392, DMS-0354540, and
DMS-0505507. Christine Guenther was partially supported by the Thomas
J. and Joyce Holce Professorship in Science. Jim Isenberg was partially
supported by NSF grants PHY-0354659 and PHY-0652903. Dan Knopf was
partially supported by NSF grants DMS-0511184, DMS-0505920, and DMS-
0545984. Peng Lu was partially supported by NSF grant DMS-0405255.
Feng Luo was partially supported by NSF grant DMS-0103843. Lei Ni
was partially supported by NSF grants DMS-0354540 and DMS-0504792.
Bennett Chow and Lei Ni were partially supported by NSF FRG grant
DMS-0354540 (joint with Gang Tian). We would like to thank the National
Science Foundation, especially the Division of Mathematical Sciences and
the Geometric Analysis subdivision. In particular, we would like to thank
Christopher Stark, Helena Noronha, Alex Freire, and Zhongmin Shen. We
are grateful for Drs. Noronha's and Stark's encouragement in the early
stages of this book project.
We would like to thank Andrejs Treibergs for explaining in detail the
Aleksandrov-Bakelman-Pucci estimate to us. We thank Jiaping Wang for
his proofreading and helpful suggestions for the chapter on local derivative
estimates and other parts of the book. We would like to thank Nolan Wal-
lach for numerous discussions and invaluable help in understanding Bohm
and Wilking's work, especially the representation theoretic aspects. We
thank Kate Okikiolu and Jean Steiner for discussions on Green's functions
on manifolds. We would like to thank Esther Cabezas Rivas for a plethora