Riemannian Geometry and Geometric Analysis (Universitext)
From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. ..] The book is made more interesting by the perspectives in various sections." Math. Reviews.
Springer, 9783540259077, 566pp.
Publication Date: September 12, 2005