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.
