Riemannian geometry and geometric analysis
Material type: TextLanguage: English Series: UniversitextPublication details: Switzerland : Springer, 2017. Edition: 7th edDescription: xiv, 697p. : 19 illustrations, 4 illustrations in colorISBN: 9783319618593Subject(s): Differential geometry | Mathematical physics | Riemannian geometry | Riemannian manifolds | Lie groups | Symplectic geometry | Kähler manifolds | Morse theory | Floer homologyDDC classification: 514.764.21 Online resources: Table of contents | Reviews Summary: 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.Item type | Current library | Call number | Status | Date due | Barcode |
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Book | NISER LIBRARY | 514.764.21 JOS-R (Browse shelf(Opens below)) | Available | 25258 |
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514.764.2 BEL-S Sub-riemannian geometry | 514.764.2 BOR-S Semisimple groups and riemannian symmetric spaces | 514.764.2 FRA-R Riemann hypothesis for function fields: frobenius flow and shift operators (the) | 514.764.21 JOS-R Riemannian geometry and geometric analysis | 514.764.22 CAP-I Introducion to the heisenberg group and the sub-riemannian isoperimetric problem (an) | 514.764.2:514.7 WEA-I Introduction to riemannian geometry and the tensor calculus | 514.764.27 SCH-H Hyperfunctions and harmonic analysis on symmetric spaces |
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.
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