1 “...: "This book provides a very readable introduction to Riemannian geometry and geometric analysis...”

2 “...: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author...”

3

4 “... and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac...”

5

6 “... and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems...”

7 “..., ... ). By way of contrast, geometric analysis is a perhaps somewhat less system­ atic collection of techniques...”

8 “...) and Riemannian Geometry and Geometric Analysis (4th ed., 2005). The present book is an expanded translation...”