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Useful books

• Riemannian Geometry, Manfredo do Carmo

• Geometry with an introduction to cosmic topology, Michael P. Hitchman

• Riemannian Geometry, Petersen

• A Panoramic View of Riemannian Geometry, Marcel Berger

• A Comprehensive Introduction to Differential Geometry, Volume One, Michael Spivak

• A Comprehensive Introduction to Differential Geometry, Volume Two, Michael Spivak

• A Comprehensive Introduction to Differential Geometry, Volume Three, Michael Spivak

• A Comprehensive Introduction to Differential Geometry, Volume Four, Michael Spivak

• A Comprehensive Introduction to Differential Geometry, Volume Five, Michael Spivak

• Introduction to Topological Manifolds, John Lee

• Introduction to Smooth Manifolds, John Lee

• Introduction to Riemannian Manifolds, John Lee

• Introduction to Complex Manifolds, John Lee

• An Introduction to Manifolds, Loring Tu

• Topology, Munkres

Useful links

• Boost your LaTeX productivity with this post by Gilles Castel.

• See also this adaptation of Castel’s work, with excellent VS Code integration.

• How to Take Smart Notes, by Sönke Ahrens

• sci-hub

• libgen

• Mathematics Stack Exchange

• MathOverflow