{"product_id":"geometric-structures-on-manifolds-9781470471989","title":"Geometric Structures on Manifolds","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFocuses on several successful classification problems. Namely, fix a geometry in the sense of Klein and a topological manifold. Then the different ways of locally putting the geometry on the manifold lead to a moduli space'.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePart 1. Affine and projective geometry: Affine geometry\u003c\/li\u003e\n\u003cli\u003eProjective geometry\u003c\/li\u003e\n\u003cli\u003eDuality and non-Euclidean geometry\u003c\/li\u003e\n\u003cli\u003eConvexity\u003c\/li\u003e\n\u003cli\u003ePart 2. Geometric manifolds: Locally homogeneous geometric structures\u003c\/li\u003e\n\u003cli\u003eExamples of geometric structures\u003c\/li\u003e\n\u003cli\u003eClassification\u003c\/li\u003e\n\u003cli\u003eCompleteness\u003c\/li\u003e\n\u003cli\u003ePart 3. Affine and projective structures: Affine structures on surfaces and the Euler characteristic\u003c\/li\u003e\n\u003cli\u003eAffine Lie groups\u003c\/li\u003e\n\u003cli\u003eParallel volume and completeness\u003c\/li\u003e\n\u003cli\u003eHyperbolicity\u003c\/li\u003e\n\u003cli\u003eProjective structures on surfaces\u003c\/li\u003e\n\u003cli\u003eComplex-projective structures\u003c\/li\u003e\n\u003cli\u003eGeometric structures on 3-manifolds\u003c\/li\u003e\n\u003cli\u003eAppendices: Appendix A. Transformation groups\u003c\/li\u003e\n\u003cli\u003eAppendix B. Affine connections\u003c\/li\u003e\n\u003cli\u003eAppendix C. Representations of nilpotent groups\u003c\/li\u003e\n\u003cli\u003eAppendix D. 4-dimensional filiform nilpotent Lie algebras\u003c\/li\u003e\n\u003cli\u003eAppendix E. Semicontinuous functions\u003c\/li\u003e\n\u003cli\u003eAppendix F. $\\mathsf{SL}(2,\\mathbb{C})$ and $O(3,1)$\u003c\/li\u003e\n\u003cli\u003eAppendix G. Lagrangian foliations of symplectic manifolds\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50046720442711,"sku":"9781470471989","price":68.4,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470471989.jpg?v=1740272692","url":"https:\/\/bookcurl.com\/products\/geometric-structures-on-manifolds-9781470471989","provider":"Book Curl","version":"1.0","type":"link"}