nLab John Lee

Not to be confused with Jeffrey Marc Lee, who also wrote a book on smooth manifolds.

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John M. Lee

• Wikipedia entry

Selected writings

On differential geometry over smooth manifolds, making explicit concepts of category theory (such as differentiation as a functor):

• John M. Lee, Introduction to Smooth Manifolds, Springer 2012 (doi:10.1007/978-1-4419-9982-5, pdf)

On Riemannian manifolds:

• John M. Lee, Riemannian manifolds. An introduction to curvature. Graduate Texts in Mathematics 176 (1997), Springer. ISBN: 0-387-98271-X.

  Second Edition (retitled): Introduction to Riemannian Manifolds (2018), Springer. ISBN: 978-3-319-91754-2 (doi:10.1007/978-3-319-91755-9)

On topological manifolds and basic algebraic topology:

• John M. Lee, chapter 12 of: Introduction to topological manifolds, Graduate Texts in Mathematics 202, Springer (2000) [ISBN: 0-387-98759-2, 0-387-95026-5]

  Second edition: Springer (2011) [ISBN:978-1-4419-7939-1, doi:10.1007/978-1-4419-7940-7, errata pdf]

category: people