TY  - BOOK
AU  - Jost, Jürgen
TI  - Riemannian geometry and geometric analysis
T2  - Universitext 
SN  - 9783319618593
U1  - 514.764.21 
PY  - 2017///
CY  - Switzerland
PB  - Springer
KW  - Differential geometry
KW  - Mathematical physics
KW  - Riemannian geometry
KW  - Riemannian manifolds
KW  - Lie groups
KW  - Symplectic geometry
KW  - Kähler manifolds
KW  - Morse theory
KW  - Floer homology
N2  - This 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 newmaterial, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature
UR  - https://link.springer.com/content/pdf/bfm:978-3-319-61860-9/1
UR  - https://www.goodreads.com/book/show/40983198-riemannian-geometry-and-geometric-analysis?ref=nav_sb_ss_1_13#CommunityReviews
ER  -