Books and Surveys


Links to publishers:
American Mathematical Society Bookstore
International Press
AK Peters Ltd

In preparation

  1. (with Ben Andrews and Christine Guenther) Introduction to Geometric Flows and Monotonicity. In preparation.

To appear Published

(with Sun-Chin Chu, David Glickenstein, Christine Guenther, Jim Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, Lei Ni) The Ricci Flow: Techniques and Applications. Part IV: Long-Time Solutions and Related Topics. Mathematical Surveys and Monographs series 206, American Mathematical Society, 2015. Chinese policeman I2+IV2

(A40) (with Sun-Chin Chu, David Glickenstein, Christine Guenther, Jim Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, Lei Ni) The Ricci Flow: Techniques and Applications. Part III: Geometric/Analytic Aspects. Mathematical Surveys and Monographs series 163, American Mathematical Society, 2010.

(A39) (with Sun-Chin Chu, David Glickenstein, Christine Guenther, Jim Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, Lei Ni) The Ricci Flow: Techniques and Applications. Part II: Analytic Aspects. Mathematical Surveys and Monographs series 144, American Mathematical Society, 2008.

(A37) (with Sun-Chin Chu, David Glickenstein, Christine Guenther, Jim Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, Lei Ni) The Ricci Flow: Techniques and Applications. Part I: Geometric Aspects. Mathematical Surveys and Monographs series 135, American Mathematical Society, 2007.

(A38) (with David Glickenstein) Semi-discrete geometric flows of polygons. American Math. Monthly, 114 (2007) 316-328.

(A36) (with Peng Lu and Lei Ni) Hamilton's Ricci flow. Lectures in Contemporary Mathematics 3, Science Press and Graduate Studies in Mathematics 77, American Mathematical Society (co-publication), 2006.

(A33) A Survey of Hamilton's Program for the Ricci Flow on 3-manifolds. In Geometric Evolution Equations, National Center for Theoretical Sciences Workshop on Geometric Evolution Equations, National Tsing Hua University, Hsinchu, Taiwan, July 15 - August 14, 2002. Contemporary Mathematics, Volume 367 , AMS, 2005.

(B7) (editor, with Shu-Cheng Chang, Sun-Chin Chu, and Chang-Shou Lin) Geometric Evolution Equations. National Center for Theoretical Sciences Workshop on Geometric Evolution Equations, National Tsing Hua University, Hsinchu, Taiwan, July 15 - August 14, 2002. Contemporary Mathematics, Volume 367 , American Mathematical Society, 2005.

(A32) (with Dan Knopf) The Ricci flow: An Introduction. Mathematical Surveys and Monographs series 110, American Mathematical Society, 2004.

(B5) (with Dan Knopf and Peng Lu) An injectivity radius estimate for sequences of solutions to the Ricci flow having almost nonnegative curvature operators, in Proceedings of ICCM 2001. Edited by Chang-Shou Lin, Lo Yang, and Shing-Tung Yau. New Studies in Advanced Mathematics, Vol. 4. International Press, Somerville, MA, 2004, pp. 249-256.

(B6) (editor, with Huai-Dong Cao, Sun-Chin Chu, and Shing-Tung Yau) Collected papers on Ricci Flow, International Press, 2003.

(B4) Ricci flow and Einstein metrics in low dimensions. Surveys in differential geometry: essays on Einstein manifolds, 187-220, Surv. Differ. Geom., VI, Int. Press, Boston, MA, 1999.

(B3) (with Huai-Dong Cao) Recent Developments on the Ricci Flow, Bull. Amer. Math. Soc. (N.S.) 36, 59-74 (1999).

(B2) (editor, with Robert Gulliver, Silvio Levy, John Sullivan) Elliptic and Parabolic Methods in Geometry, AK Peters (1996)