Differential Geometry in the Large

‘The high-quality surveys and original work in this book give a convenient path to understand some recent exciting developments in global Differential Geometry and Geometric Analysis. This should be of great value to graduate students entering the field, as well as to more experienced researchers looking for an updated perspective on a wide range of topics, ranging from nonnegative curvature and Alexandrov spaces to geometric flows and equivariant geometry.’ Renato G. Bettiol, Lehman College, The City University of New York‘The volume includes important additions to the literature including new results, new proofs of previous results, and simplified expositions, and also an excellent collection of surveys on recent activity. It is well written and offers a generous overview and invitation to a variety of modern, active topics in differential geometry.’ Christopher Seaton, MAA Reviews

Owen Dearricott is Honorary Research Fellow at La Trobe University, Australia. A Riemannian geometer best known for his work constructing metrics of positive sectional curvature in dimension seven, he was a co-author of a proceedings volume of the 2010 mini-meeting in Differential Geometry at CIMAT, Guanajuato.

Wilderich Tuschmann holds the Differential Geometry Professorial Chair at Karlsruhe Institute of Technology, Germany. He is a geometer with research interests in global differential geometry and geometric topology. He co-authored a scientific biography of the Russian mathematician Sofya Kovalevskaya (1993) and Moduli Spaces of Riemannian Metrics (2015).

Yuri Nikolayevsky is Associate Professor at La Trobe University, Victoria. He is a differential geometer best known for his work on Osserman manifolds and homogeneous geometry. He has organised numerous geometry workshops in Australia and was the director of the Australian Mathematical Sciences Institute Summer School at La Trobe University in 2020.

Thomas Leistner is Associate Professor at the University of Adelaide. He is a differential geometer who works on Lorentzian and pseudo-Riemann geometry, conformal geometry and holonomy theory.

Diarmuid Crowley is Associate Professor at the University of Melbourne. He is a differential topologist with special expertise in the classification of 7-manifolds via smooth invariants.