# Global analysis

study of the global and topological properties of differential equations on manifolds and vector space bundles

In mathematics, **global analysis**, also called **analysis on manifolds**, is the study of the global and topological properties of differential equations on manifolds and Vector bundles.

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## Quotes

edit- Global analysis on homogeneous manifolds has interacted with various branches of mathematics, such as representation theory, differential geometry, D-modules, functional analysis, algebraic geometry, automorphic forms, combinatorics, integral geometry, and so on.
- Katsumi Nomizu (1998).
*Selected Papers on Harmonic Analysis, Groups, and Invariants*. American Mathematical Society. pp. 1. ISBN 978-0-8218-0840-5.

- Katsumi Nomizu (1998).