This is the first comprehensive work in English on the complex history and theory of traditional Chinese narrative. It describes the major Chinese conventions and strategies for interpreting narrative works, both historical and fictional, from the earliest narratives through those of the Ch'ing dynasty. For most of China's recorded history, historical authenticity and factual accuracy were paramount in the production and reception of narrative texts. Fictional narratives were theorized and judged in accordance with the standards of historical narratives. In short, narrative was history, and fiction was defective history. Furthermore, the state made great efforts to control fiction by suppression (censorship) and disavowal (denigration and trivialization). It was only with the widespread popularity of novels in the Ming and Ch'ing dynasties that Chinese theorists were able to come to terms with fiction and dehistoricize the poetics of narrative by allowing and recognizing invention and fabrication in narrative texts. At this time, the Chinese poetics of narrative moved away from the long-held centrality of historicity, and critics acknowledged that good fiction can penetrate the nature and feelings of human beings in ways that other writings cannot, and that a reader is able to discover the uttermost principles of life in fiction just as in the Confucian classics and historical writings. Narrative was no longer assigned the function it had, for some 2,000 years, of being a "factual record" or "credible history." Its existence was justified because it conjured up a world that was lifelike and credible. In the process of tracing the long history of Chinese narrative, the author employs both Chinese and Western theoretical writings to chart convergences and differences in Chinese and Western literary theory and criticism.

This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of the current research in geometric analysis and related PDEs. The book is of significant interest for researchers, including advanced Ph.D. students, working in geometric analysis. Readers who have a secondary interest in geometric analysis will benefit from the survey articles. The results included in this book will stimulate further advances in the subjects: geometric analysis, including complex differential geometry, symplectic geometry, PDEs with a geometric origin, and geometry related to topology. Contributions by Claudio Arezzo, Alberto Della Vedova, Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis, Sun-Yung A. Chang, Zheng-Chao Han, Paul Yang, Tobias Holck Colding, William P. Minicozzi II, Panagiotis Dimakis, Richard Melrose, Akito Futaki, Hajime Ono, Jiyuan Han, Jeff A. Viaclovsky, Bruce Kleiner, John Lott, Slawomir Kolodziej, Ngoc Cuong Nguyen, Chi Li, Yuchen Liu, Chenyang Xu, YanYan Li, Luc Nguyen, Bo Wang, Shiguang Ma, Jie Qing, Xiaonan Ma, Sean Timothy Paul, Kyriakos Sergiou, Tristan Riviere, Yanir A. Rubinstein, Natasa Sesum, Jian Song, Jeffrey Streets, Neil S. Trudinger, Yu Yuan, Weiping Zhang, Xiaohua Zhu and Aleksey Zinger.

With the increasing popularity of the Chinese film industry, a large amount of foreign captial has been invested in the productions. Internationalization on this scale at both the production and consumption levels has raised the question of what constitutes ""Chinese cinema"". In this book the authors discuss the central topic of a national cinema and analyze the emergence of ""transnational cinema"" in Chinese film studies. Applying different methodologies and approaches, they explore the interrelations of national cinematic style, global capitalism, the evolution of the modern nation-state, cultural politics, censorship and gender identity. Among the film artists discussed are Cai Chusheng, Xie Jin, Chen Kaige, Zhang Yimou, Ang Lee and Jackie Chan. The volume opens with essays tracing the early decades of the 20th century, through to the Mao era and the age of transnational capitalism. Other essays consider what have been the peripheral and marginalized traditions in relation to mainstream Chinese cinema.

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. To this end, the first chapter is a review of the relevant basics of Riemannian geometry. For the benefit of the student, the text includes a number of exercises of varying difficulty. The book also provides brief introductions to some general methods of geometric analysis and other geometric flows. Comparisons are made between the Ricci flow and the linear heat equation, mean curvature flow, and other geometric evolution equations whenever possible. Several topics of Hamilton's program are covered, such as short time existence, Harnack inequalities, Ricci solitons, Perelman's no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamilton's and Perelman's works, is the use of Ricci flow as an approach to solving the Poincare conjecture and Thurston's geometrization conjecture.