Moduli Spaces of Riemannian Metrics (Oberwolfach Seminars, Band 46). [Neubuch].

Idioma: inglés

Editorial: Birkhäuser, 2015

3034809476 / 9783034809474

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Librería: ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, AlemaniaANTIQUARIAT Franke BRUDDENBOOKS

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136 S. Buch ist neu, aus priv. Vorbesitz, ungelesen. -----Inhalt. 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. 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. Part I: Positive scalar curvature.- The (moduli) space of all Riemannian metrics.- Clifford algebras and spin.- Dirac operators and index theorems.- Early results on the space of positive scalar curvature metrics.- Kreck-Stolz invariants.- Applications of Kreck-Stolz invariants.- The eta invariant and applications.- The case of dimensions 2 and 3.- The observer moduli space and applications.- Other topological structures.- Negative scalar and Ricci curvature.- Part II: Sectional curvature.- Moduli spaces of compact manifolds with positive or non-negative sectional curvature.- Moduli spaces of compact manifolds with negative and non-positive sectional curvature.- Moduli spaces of non-compact manifolds with non-negative sectional curvature.- Positive pinching and the Klingenberg-Sakai conjecture. ISBN: 9783034809474 Due to new EU packaging regulations, we are currently unable to ship to many EU countries. Shipping to Germany, the Netherlands, Ireland, Finland, and the Baltic states is possible. Deliveries to border-based parcel lockers or cross-border parcel forwarding services remain possible. Shipping to all countries outside the EU also remains possible. Sprache: Englisch Gewicht in Gramm: 236 Broschur, Maße: 16.8 cm x 0.79 cm x 24 cm.…

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Título
Moduli Spaces of Riemannian Metrics (Oberwolfach Seminars, Band 46). [Neubuch].
Autor
Tuschmann, Wilderich und David J. Wraith:
Editorial
Birkhäuser
Año de publicación
2015
Estado
Neu
Encuadernación
Encuadernación de tapa blanda
Idioma
inglés
ISBN 10
3034809476
ISBN 13
9783034809474
Edición
1st ed. 2015.
Peso del artículo
236 gramos
Catálogos de vendedores
Mathematik

ANTIQUARIAT Franke BRUDDENBOOKS

Lübeck, Alemania

Vendedor de 5 estrellas

Vendedor de IberLibro desde 17 de enero de 2005

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ANTIQUARIAT Franke BRUDDENBOOKS

Alemania

Firma: ANTIQUARIAT G.Hermann Franke Unternehmensform: Einzelunternehmer Inhaber: Gerald Hermann Franke Strasse: Fleischhauerstr. 32 Postleitzahl: 23552 Ort: Lübeck Land: Deutschland Tel: 0451-8818662 Fax: 03222-1529423 Email: bruddenbooks@t-online.de Website: www.bruddenbooks.de Ust-IdNr.: DE235667039