{"product_id":"lectures-on-kahler-geometry-hardback-9780521868914","title":"Lectures on Kähler Geometry (Hardback) 9780521868914","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLectures on Kähler Geometry\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis graduate text provides a concise and self-contained introduction to Kähler geometry.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAndrei Moroianu (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521868914, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 29 March 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e182 pages, 131 exercises\u003cbr\u003e22.9 x 15.2 x 1.4 cm, 0.44 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"A concise and well-written modern introduction to the subject.\"  \u003cbr\u003eTatyana E. Foth, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eKähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kähler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenböck techniques, Calabi–Yau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e Part I. Basics on Differential Geometry: 1. Smooth manifolds\u003cbr\u003e 2. Tensor fields on smooth manifolds\u003cbr\u003e 3. The exterior derivative\u003cbr\u003e 4. Principal and vector bundles\u003cbr\u003e 5. Connections\u003cbr\u003e 6. Riemannian manifolds\u003cbr\u003e Part II. Complex and Hermitian Geometry: 7. Complex structures and holomorphic maps\u003cbr\u003e 8. Holomorphic forms and vector fields\u003cbr\u003e 9. Complex and holomorphic vector bundles\u003cbr\u003e 10. Hermitian bundles\u003cbr\u003e 11. Hermitian and Kähler metrics\u003cbr\u003e 12. The curvature tensor of Kähler manifolds\u003cbr\u003e 13. Examples of Kähler metrics\u003cbr\u003e 14. Natural operators on Riemannian and Kähler manifolds\u003cbr\u003e 15. Hodge and Dolbeault theory\u003cbr\u003e Part III. Topics on Compact Kähler Manifolds: 16. Chern classes\u003cbr\u003e 17. The Ricci form of Kähler manifolds\u003cbr\u003e 18. The Calabi–Yau theorem\u003cbr\u003e 19. Kähler–Einstein metrics\u003cbr\u003e 20. Weitzenböck techniques\u003cbr\u003e 21. The Hirzebruch–Riemann–Roch formula\u003cbr\u003e 22. Further vanishing results\u003cbr\u003e 23. Ricci–flat Kähler metrics\u003cbr\u003e 24. Explicit examples of Calabi–Yau manifolds\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265296224536,"sku":"9780521868914","price":119.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521868914i.jpg?v=1692021478","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lectures-on-kahler-geometry-hardback-9780521868914","provider":"Freshly Printed Books","version":"1.0","type":"link"}