Ben Andrews

Wheeliam is a nippy, zippy, zoomy wheelchair Anthony uses to get around, but when a trip to the shops proves difficult, can you work with Wheeliam to make the street a BETTER PLACE? Anthony and Wheeliam's Street is the second in a series of children's picture books to help children think about how places could be better for disabled people.

Candy is a tall, thin white cane Nicky uses to get around, but when a trip to a friend's house proves difficult, can you work with Candy to make the street a Better Place? 'Better Places' has been written to help highlight the issues disabled people currently face to children, parents and educators whilst providing an outlet to take positive action. Introducing these concepts at an early age will increase understanding as they grow into adults to support a more accessible, inclusive and better future.

Extrinsic geometric flows are characterized by a submanifold evolving in an ambient space with velocity determined by its extrinsic curvature. The goal of this book is to give an extensive introduction to a few of the most prominent extrinsic flows, namely, the curve shortening flow, the mean curvature flow, the Gauss curvature flow, the inverse-mean curvature flow, and fully nonlinear flows of mean curvature and inverse-mean curvature type. The authors highlight techniques and behaviors that frequently arise in the study of these (and other) flows. To illustrate the broad applicability of the techniques developed, they also consider general classes of fully nonlinear curvature flows. The book is written at the level of a graduate student who has had a basic course in differential geometry and has some familiarity with partial differential equations. It is intended also to be useful as a reference for specialists. In general, the authors provide detailed proofs, although for some more specialized results they may only present the main ideas; in such cases, they provide references for complete proofs. A brief survey of additional topics, with extensive references, can be found in the notes and commentary at the end of each chapter.

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.