<p>This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kähler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces.</p>

Riemannian Geometry and Geometric Analysis

Science & Math

Ja1/4rgen Jost Jurgen Jost

Mathematics

Springer

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Books by Ja1/4rgen Jost Jurgen Jost

See the best price to sell, buy, or rent books by Ja1/4rgen Jost Jurgen Jost. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Riemannian Geometry and Geometric Analysis