简介
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Fr chet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation c. by Book News, Inc., Portland, Or.
目录
Introduction
Calculus of smooth mappings
Calculus of holomorphic and real analytic mappings
Partitions of unity
Smoothly realcompact spaces
Extensions and liftings of mappings
Infinite dimensional manifolds
Calculus on infinite dimensional manifolds
Infinite dimensional differential geometry
Manifolds of mappings
Further applications
References
Index
Calculus of smooth mappings
Calculus of holomorphic and real analytic mappings
Partitions of unity
Smoothly realcompact spaces
Extensions and liftings of mappings
Infinite dimensional manifolds
Calculus on infinite dimensional manifolds
Infinite dimensional differential geometry
Manifolds of mappings
Further applications
References
Index
- 名称
- 类型
- 大小
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