Riemannian Geometry: A Modern Introduction
Isaac Chavel
Abstract
Isaac Chavel
Abstract
1. Riemannian manifolds 2. Riemannian curvature 3. Riemannian volume 4. Riemannian coverings 5. Surfaces 6. Isoperimetric inequalities (constant curvature) 7. The kinetic density 8. Isoperimetric inequalities (variable curvature) 9. Comparison and finiteness theorems.
OpenAlex reports 890 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
1. Riemannian manifolds 2. Riemannian curvature 3. Riemannian volume 4. Riemannian coverings 5. Surfaces 6. Isoperimetric inequalities (constant curvature) 7. The kinetic density 8. Isoperimetric inequalities (variable curvature) 9. Comparison and finiteness theorems.
Key concepts: Isoperimetric inequality, Curvature of Riemannian manifolds, Sectional curvature, Riemannian geometry, Mathematics, Curvature, Mean curvature, Geometry