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Riemannian Geometry and Geometric Analysis

Riemannian Geometry and Geometric Analysis

Paperback

Series: Universitext

GeometryPhysics

PREORDER - Expected ship date October 28, 2026

ISBN10: 3032329442
ISBN13: 9783032329448
Publisher: Springer
Published: Oct 28 2026
Pages: 802
Language: English
Riemannian geometry and geometric analysis are flourishing fields with applications in physics, statistics, and machine learning. This textbook develops both fundamental concepts and more advanced topics shaped by recent progress. The 8th edition expands coverage with a systematic treatment of total scalar curvature, from which the Einstein equations, Ricci flow, and the Yamabe problem emerge, and includes new perspectives on generalized sectional and Ricci curvatures as well as Kirillov's coadjoint orbits. It introduces core notions such as geodesics, connections, and curvature, alongside key tools of geometric analysis, including harmonic functions, forms, eigenvalues, the Dirac operator, and heat flow, and highlights major variational principles like harmonic maps, Yang-Mills, Ginzburg-Landau and Seiberg-Witten. The book offers a coherent geometric framework while equipping readers with practical methods for further study and research.

Also from

Jost, Jürgen

Also in

Geometry