{"product_id":"riemannian-geometry-171-graduate-texts-in-mathematics","title":"Riemannian Geometry: 171 (Graduate Texts in Mathematics)","description":"\u003cp data-start=\"0\" data-end=\"18\"\u003e\u003cstrong data-start=\"0\" data-end=\"16\"\u003eBook Details\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul data-start=\"19\" data-end=\"336\"\u003e\n\u003cli data-start=\"19\" data-end=\"49\"\u003e\n\u003cp data-start=\"21\" data-end=\"49\"\u003e\u003cstrong data-start=\"21\" data-end=\"31\"\u003eAuthor\u003c\/strong\u003e: Peter Petersen\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"50\" data-end=\"77\"\u003e\n\u003cp data-start=\"52\" data-end=\"77\"\u003e\u003cstrong data-start=\"52\" data-end=\"65\"\u003ePublisher\u003c\/strong\u003e: Springer\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"78\" data-end=\"104\"\u003e\n\u003cp data-start=\"80\" data-end=\"104\"\u003e\u003cstrong data-start=\"80\" data-end=\"91\"\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"169\" data-end=\"197\"\u003e\n\u003cp data-start=\"171\" data-end=\"197\"\u003e\u003cstrong data-start=\"171\" data-end=\"190\"\u003eNumber of Pages\u003c\/strong\u003e: 499\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"198\" data-end=\"230\"\u003e\n\u003cp data-start=\"200\" data-end=\"230\"\u003e\u003cstrong data-start=\"200\" data-end=\"216\"\u003eRelease Date\u003c\/strong\u003e: 24-04-2018\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"231\" data-end=\"258\"\u003e\n\u003cp data-start=\"233\" data-end=\"258\"\u003e\u003cstrong data-start=\"233\" data-end=\"241\"\u003eISBN\u003c\/strong\u003e: 9783319799896\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"259\" data-end=\"309\"\u003e\n\u003cp data-start=\"261\" data-end=\"309\"\u003e\u003cstrong data-start=\"261\" data-end=\"283\"\u003ePackage Dimensions\u003c\/strong\u003e: 9.1 x 6.0 x 1.1 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"310\" data-end=\"336\"\u003e\n\u003cp data-start=\"312\" data-end=\"336\"\u003e\u003cstrong data-start=\"312\" data-end=\"325\"\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"338\" data-end=\"894\"\u003e\u003cstrong data-start=\"338\" data-end=\"356\"\u003eAbout The Book\u003c\/strong\u003e\u003cbr data-start=\"356\" data-end=\"359\"\u003eThis book serves as an introduction to Riemannian geometry, making it an ideal resource for a one-year course on the subject. Peter Petersen combines both the geometric and analytic aspects of Riemannian geometry, providing a balanced approach to a complex field of mathematics. The text is designed to be accessible to readers who already have a basic understanding of standard manifold theory, including tensors, forms, and Lie groups, while also offering in-depth discussions for those who wish to specialize in Riemannian geometry.\u003c\/p\u003e\n\u003cp data-start=\"896\" data-end=\"956\"\u003eThe third edition has been significantly revised to include:\u003c\/p\u003e\n\u003cul data-start=\"958\" data-end=\"1757\"\u003e\n\u003cli data-start=\"958\" data-end=\"1086\"\u003e\n\u003cp data-start=\"960\" data-end=\"1086\"\u003eA substantial addition of unique exercises that enrich the text, providing readers with a deeper understanding of the subject.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1087\" data-end=\"1231\"\u003e\n\u003cp data-start=\"1089\" data-end=\"1231\"\u003eAn increased number of coordinate calculations for connection and curvature, helping students gain practical insight into Riemannian geometry.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1232\" data-end=\"1340\"\u003e\n\u003cp data-start=\"1234\" data-end=\"1340\"\u003eGeneral formulas for curvature on Lie Groups and submersions, expanding the applicability of the material.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1341\" data-end=\"1470\"\u003e\n\u003cp data-start=\"1343\" data-end=\"1470\"\u003eIntegration of variational calculus into the text, facilitating an early treatment of the Sphere theorem and a proof by Berger.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1471\" data-end=\"1597\"\u003e\n\u003cp data-start=\"1473\" data-end=\"1597\"\u003eSeveral recent developments in the study of manifolds with positive curvature, offering a modern perspective on the subject.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1598\" data-end=\"1757\"\u003e\n\u003cp data-start=\"1600\" data-end=\"1757\"\u003eA new simplifying approach to the Bochner technique for tensors, including applications to bound topological quantities under general lower curvature bounds.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1759\" data-end=\"2074\" data-is-last-node=\"\" data-is-only-node=\"\"\u003eIncorporating both foundational principles and recent advancements, this text is an invaluable resource for mathematicians and students looking to deepen their understanding of Riemannian geometry. It's highly recommended for anyone wishing to gain a comprehensive understanding of the subject and its applications.\u003c\/p\u003e","brand":"SPRINGER-VERLAG","offers":[{"title":"Default Title","offer_id":49941968388400,"sku":"Sarat_9783319799896","price":5040.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/springer-verlag-book-default-title-riemannian-geometry-171-graduate-texts-in-mathematics-41291904221488.jpg?v=1775948819","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/riemannian-geometry-171-graduate-texts-in-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}