Riemannian Geometry and Geometric Analysis (7th Ed., 7th ed. 2017) Universitext Series
Auteur : Jost Jürgen
Jürgen Jost is Codirector of the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany, an Honorary Professor at the Department of Mathematics and Computer Sciences at Leipzig University, and an External Faculty Member of the Santa Fe Institute for the Sciences of Complexity, New Mexico, USA.
He is the author of a number of further Springer textbooks including Postmodern Analysis (1997, 2002, 2005), Compact Riemann Surfaces (1997, 2002, 2006), Partial Differential Equations (2002, 2007, 2013), Differentialgeometrie und Minimalflächen (1994, 2007, 2014, with J. Eschenburg), Dynamical Systems (2005), Mathematical Concepts (2015), as well as several research monographs, such as Geometry and Physics (2009), and many publications in scientific journals.
Continues to lead its readers to some of the hottest topics of contemporary research
Each chapter now includes additional basic exercises to test the reader’s understanding
Features new material on Ricci curvature
Date de parution : 10-2017
Ouvrage de 697 p.
15.5x23.5 cm
Mots-clés :
53B21, 53L20, 32C17, 35I60, 49-XX, 58E20, 57R15, Riemannian geometry, Riemannian manifolds, Lie groups, symplectic geometry, vector bundles, Laplace operator, harmonic functions, harmonic maps, curvature, Dirac operator, geometry of submanifolds, geodesics, Jacobi fields, symmetric spaces, Kähler manifolds, Morse theory, Floer homology, quantum field theory variational problems, theoretical physics variational principles