nLab analytic manifold

Redirected from "analytic manifolds".
Contents

Contents

Idea

An analytic manifold is a manifold with analytic transition functions over some field. The most widely studied are real-analytic and complex analytic manifolds.

Analytic manifolds are studied in analytic geometry.

References

  • L. Schwarz, Lectures on complex analytic manifolds (1955) (pdf)

  • Jean-Pierre Serre: Analytic Manifolds, Part II Chapter III of: Lie Algebras and Lie Groups – 1964 Lectures given at Harvard University, Lecture Notes in Mathematics 1500, Springer (1992) [doi:10.1007/978-3-540-70634-2]

Last revised on September 2, 2024 at 11:11:11. See the history of this page for a list of all contributions to it.