Moduli spaces of riemannian metrics

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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.

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.

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.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 15 oktober 2015

Aantal pagina's: 123

Illustraties: Nee

Hoofdauteur: Wilderich Tuschmann

Tweede Auteur: David J. Wraith

Hoofduitgeverij: Birkhauser Verlag Ag

Editie: 1st ed. 2015, Corr. 2nd printing 2015

Extra groot lettertype: Nee

Product breedte: 171 mm

Product hoogte: 13 mm

Product lengte: 235 mm

Studieboek: Nee

Verpakking breedte: 168 mm

Verpakking hoogte: 240 mm

Verpakking lengte: 240 mm

Verpakkingsgewicht: 2407 g

EAN: 9783034809474

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