<p>This book gives a presentation of topics in Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject. The authors have aimed at presenting technical material in a clear and detailed manner. In this volume, geometric aspects of the theory have been emphasized. The book presents the theory of Ricci solitons, Kähler-Ricci flow, compactness theorems, Perelman's entropy monotonicity and no local collapsing, Perelman's reduced distance function and applications to ancient solutions, and a primer of 3-manifold topology. Various technical aspects of Ricci flow have been explained in a clear and detailed manner. The authors have tried to make some advanced material accessible to graduate students and nonexperts. The book gives a rigorous introduction to Perelman's work and explains technical aspects of Ricci flow useful for singularity analysis. Throughout, there are appropriate references so that the reader may further pursue the statements and proofs of the various results.</p>

The Ricci Flow: Techniques and Applications: Geometric Aspects (Mathematical Surveys and Monographs, 135)

Science & Math

Isenberg, James

Guenther, Christine

Chow, Bennett

Chu, Sun-Chin

Glickenstein, David

Mathematics

Amer Mathematical Society

The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject, with an emphasis on the geometric and analytic aspects. The topics include Perelman's entropy functional, point picking methods, aspects of Perelman's theory of $\kappa$-solutions including the $\kappa$-gap theorem, compactness theorem and derivative estimates, Perelman's pseudolocality theorem, and aspects of the heat equation with respect to static and evolving metrics related to Ricci flow. In the appendices, we review metric and Riemannian geometry including the space of points at infinity and Sharafutdinov retraction for complete noncompact manifolds with nonnegative sectional curvature. As in the previous volumes, the authors have endeavored, as much as possible, to make the chapters independent of each other. The book makes advanced material accessible to graduate students and nonexperts. It includes a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors give the appropriate references so that the reader may further pursue the statements and proofs of the various results.

The Ricci Flow: Techniques and Applications: Geometric-Analytic Aspects (Mathematical Surveys and Monographs, 163)

Police Leadership in a Democracy (Modern Police Administration)

Every day the media floods the airwaves with their often-contradictory version of the role and behavior of the police force. Based on this, you might think that police officers either brutally enforce their own interpretation of the nation�s laws or use all the modern tools available to carefully and persistently uncover the special clues that lead to the identification and arrest of suspected criminals. Based on interviews with 26 police chiefs, Police Leadership in a Democracy: Conversations with America�s Police Chiefs takes a poignant journey through the minds of the men and women who have risen to the top of a profession essential to the country�s safety and security. The book�s interview format gives a voice to police chiefs from cities and regions as diverse as Newark, New Jersey; Lenexa, Kansas; and Richmond, California. They discuss their visions for their departments and the challenges they faced bringing that vision to fruition, including mistakes made along the way. The chiefs speak candidly about their relationships with mayors, unions, community leaders, and their own officers. Highlighting the importance of these inherently challenging relationships, chiefs assess their strengths and, in some cases, their failures. They explain their approaches to working with the community to reduce crime and the difficulties involved in gaining support for these community policing efforts. Though their jurisdictions were different, the chiefs universally recognized the fundamental need to develop and support their police officers while building strong relationships between the community and the political structure of the city. Opening a window to the day-to-day realities of police leadership, this book offers a realistic view of the challenges of motivating street cops to enforce the law in a way that helps citizens build trust in it and in them.

Police Leadership in a Democracy: Conversations with America's Police Chiefs (Modern Police Administration)

Reference

Routledge

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