Moduli Spaces of Riemannian Metrics
Wilderich Tuschmann · David J. Wraith
říjen 2015 · Oberwolfach Seminars Kniha 46 · Springer
E‑kniha
123
Stránky
reportHodnocení a recenze nejsou ověřeny Další informace
Podrobnosti o e‑knize
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under the action of the diffeomorphism group (or possibly a subgroup) we obtain a moduli space. Understanding the topology of both the original space of metrics and the corresponding moduli space form the central theme of this book. For example, what can be said about the connectedness or the various homotopy groups of such spaces? We explore the major results in the area, but provide sufficient background so that a non-expert with a grounding in Riemannian geometry can access this growing area of research.
O autorovi
Wilderich Tuschmann's general research interests lie in the realms of global differential geometry, Riemannian geometry, geometric topology, and their applications, including, for example, questions concerning the geometry and topology of nonnegative and almost nonnegative curvature, singular metric spaces, collapsing and Gromov-Hausdorff convergence, analysis and geometry on Alexandrov spaces, geometric finiteness theorems, moduli spaces of Riemannian metrics, transformation groups, geometric bordism invariants, information and quantum information geometry. After his habilitation in mathematics at the University of Leipzig in 2000 he worked as a Deutsche Forschungsgemeinschaft Heisenberg Fellow at Westfälische Wilhems-Universität Münster, and from 2005-2010 he held a professorship at Christian-Albrechts-Universität Kiel. In the fall of 2010 he was appointed professor of mathematics at Karlsruhe Institute of Technology (KIT), a position he currently holds. David Wraith's main mathematical interests concern the existence of Riemannian metrics satisfying various kinds of curvature conditions and their topological implications. Most of his work to date has focused on the existence of positive Ricci curvature metrics. He has worked at the National University of Ireland Maynooth since 1997.
Ohodnotit e‑knihu
Sdělte nám, co si myslíte.
Informace o čtení
Telefony a tablety
Nainstalujte si aplikaci Knihy Google Play pro Android a iPad/iPhone. Aplikace se automaticky synchronizuje s vaším účtem a umožní vám číst v režimu online nebo offline, ať jste kdekoliv.
Notebooky a počítače
Audioknihy zakoupené na Google Play můžete poslouchat pomocí webového prohlížeče v počítači.
Čtečky a další zařízení
Pokud chcete číst knihy ve čtečkách elektronických knih, jako např. Kobo, je třeba soubor stáhnout a přenést do zařízení. Při přenášení souborů do podporovaných čteček elektronických knih postupujte podle podrobných pokynů v centru nápovědy.
