Selected Topics in Differential Geometry

A. Presley. Elementary Differential Geometry, 2nd edition. Springer. ISBN 978-1-84882-890-2 / 978-1-84882-891-9.

Directed parallel course notes for interested undergraduates and graduate students taking their first graduate geometry course: Sigmundur Gudmundsson. An Introduction to Riemannian Geometry. AMS Open Math Notes. https://www.ams.org/open-math-notes/omn-view-listing?listingId=110709

Graduate directed reading: Wolfgang Kühnel. Differential Geometry: Curves – Surfaces – Manifolds, 2nd edition.

Graduate directed reading: V. Muñoz et al. Geometry and Topology of Manifolds: Surfaces and Beyond.

Other material (not labelled required): M. P. do Carmo. Differential Geometry of Curves and Surfaces.

Other material (not labelled required): Kristopher Tapp. Differential Geometry of Curves and Surfaces.

Other material (not labelled required): Theodore Shifrin. Differential Geometry (electronic resource).

Other material for MSc/PhD students (not labelled required): M. P. do Carmo. Riemannian Geometry.

Other material for MSc/PhD students (not labelled required): John M. Lee. Riemannian Manifolds.

Wolfgang Kühnel, Differential Geometry: Curves – Surfaces – Manifolds, 2nd edition (for graduate students).

M. P. do Carmo, Differential Geometry of Curves and Surfaces.

Kristopher Tapp, Differential Geometry of Curves and Surfaces.

Theodore Shifrin, Differential Geometry (electronic resource).

M. P. do Carmo, Riemannian Geometry (for MSc/PhD students).

John M. Lee, Riemannian Manifolds (for MSc/PhD students).

Wolfgang Kühnel, Differential Geometry: Curves – Surfaces – Manifolds, 2nd edition (for graduate students).

M. P. do Carmo, Differential Geometry of Curves and Surfaces.

Kristopher Tapp, Differential Geometry of Curves and Surfaces.

Theodore Shifrin, Differential Geometry (electronic resource).

M. P. do Carmo, Riemannian Geometry (for MSc/PhD students).

John M. Lee, Riemannian Manifolds (for MSc/PhD students).