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RIEMANNIAN GEOMETRY (PhD, Chavel)

Lecture Topic : RIEMANNIAN GEOMETRY (PhD, Chavel)

Prerequisites : Riemannian Geometry (M2); Algebraic Topology (M1); Manifold Theory (M1); Differential Forms (M1); Lie Groups (M1); Cohomology (M2);

Recommended Text(s) :

“Riemannian Geometry : A Modern Introduction”, Isaac Chavel,CambridgeUniversityPress, 1993.

Approx price new on Amazon.com (hard copy) : $36

Approx price second hand on Amazon.com (hard copy) : $29

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Chavel, Riemannian Geometry

Lectures and Links :

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Lecture 1  (link)

Ch.1   Riemannian Manifolds

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Lecture 2  (link)

Ch.2   Riemannian Curvature

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Lecture 3  (link)

Ch.3   Riemannian Volume

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Lecture 4 (link)

Ch.4   Riemannian Coverings

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Lecture 5  (link)

Ch.5   The Kinematic Density

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Lecture 6  (link)

Ch.6   Isoperimetric Inequalities

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Lecture 7  (link)

Ch.7   Comparison and Finiteness Theorems

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Lecture 8  (link)

Ch.8   Hints and Sketches of Solutions

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