000801335 000__ 03947cam\a2200457Ii\4500
000801335 001__ 801335
000801335 005__ 20230306143628.0
000801335 006__ m\\\\\o\\d\\\\\\\\
000801335 007__ cr\cn\nnnunnun
000801335 008__ 171023s2017\\\\sz\a\\\\ob\\\\001\0\eng\d
000801335 020__ $$a9783319618609$$q(electronic book)
000801335 020__ $$a3319618601$$q(electronic book)
000801335 020__ $$z9783319618593
000801335 0247_ $$a10.1007/978-3-319-61860-9$$2doi
000801335 035__ $$aSP(OCoLC)on1007152776
000801335 035__ $$aSP(OCoLC)1007152776
000801335 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dFIE$$dUAB
000801335 049__ $$aISEA
000801335 050_4 $$aQA649
000801335 08204 $$a516.3/73$$223
000801335 1001_ $$aJost, Jürgen,$$d1956-$$eauthor.
000801335 24510 $$aRiemannian geometry and geometric analysis /$$cJürgen Jost.
000801335 250__ $$aSeventh edition.
000801335 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017.
000801335 300__ $$a1 online resource (xiv, 697 pages) :$$billustrations.
000801335 336__ $$atext$$btxt$$2rdacontent
000801335 337__ $$acomputer$$bc$$2rdamedia
000801335 338__ $$aonline resource$$bcr$$2rdacarrier
000801335 347__ $$atext file$$bPDF$$2rda
000801335 4901_ $$aUniversitext,$$x0172-5939
000801335 504__ $$aIncludes bibliographical references and index.
000801335 5050_ $$a1 Riemannian Manifolds -- 2 Lie Groups and Vector Bundles -- 3 The Laplace Operator and Harmonic Differential Forms -- 4 Connections and Curvature -- 5 Geometry of Submanifolds -- 6 Geodesics and Jacobi Fields -- A Short Survey on Curvature and Topology -- 7 Symmetric Spaces and Kähler Manifolds -- 8 Morse Theory and Floer Homology -- 9 Harmonic Maps between Riemannian Manifolds -- 10 Harmonic Maps from Riemann Surfaces -- 11 Variational Problems from Quantum Field Theory -- A Linear Elliptic Partial Differential Equations -- B Fundamental Groups and Covering Spaces -- Bibliography -- Index.
000801335 506__ $$aAccess limited to authorized users.
000801335 520__ $$aThis established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research.  The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature. From the reviews: “This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.” Mathematical Reviews “For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained … The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.” Monatshefte für Mathematik.--$$cProvided by publisher.
000801335 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 23, 2017).
000801335 650_0 $$aGeometry, Riemannian.
000801335 830_0 $$aUniversitext.
000801335 852__ $$bebk
000801335 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-61860-9$$zOnline Access$$91397441.1
000801335 909CO $$ooai:library.usi.edu:801335$$pGLOBAL_SET
000801335 980__ $$aEBOOK
000801335 980__ $$aBIB
000801335 982__ $$aEbook
000801335 983__ $$aOnline
000801335 994__ $$a92$$bISE