1994Unpublished venueRequires access

Riemannian Geometry: A Modern Introduction

Isaac Chavel

Open publisher page 890 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Isoperimetric inequality, Curvature of Riemannian manifolds, Sectional curvature, Riemannian geometry, Mathematics, Curvature, Mean curvature, Geometry

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