E Book
Riemannian Geometry and Geometric Analysis
Foundational Material -- De Rham Cohomology and Harmonic Differential Forms -- Parallel Transport, Connections, and Covariant Derivatives -- Geodesics and Jacobi Fields -- Symmetric Spaces and Kähler Manifolds -- Morse Theory and Floer Homology -- Variational Problems from Quantum Field Theory -- Harmonic Maps.
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