Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA641.SPR FCT 96429 (Browse shelf) | 1 | Available |
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QA641.SPR FCT 96261 Global differential geometry | QA641.SPR FCT 96268 Finsler geometry | QA641.SPR FCT 96357 Nonholonomic mechanics and control | QA641.SPR FCT 96429 Moduli spaces of Riemannian metrics | QA641.SPR FCT 96460 Elementary symplectic topology and mechanics | QA641.SPR FCT 96673 Extended abstracts fall 2013 | QA641.SPR FCT 96726 Geometry and analysis on manifolds |
Colocação: Online
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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