Direct and Projective Limits of Geometric Banach Structures.

This book provides a comprehensive introduction to the Banach setting and Lie structures in finite dimension,explaining how these structures can be extended to projective and direct limits and illustrated with examples from various fields. It serves as a valuable resource for both beginners and experts in differential geometry.

Format: Hardback
Length: 472 pages
Publication date: 06 October 2023
Publisher: Taylor & Francis Ltd

This comprehensive text delves into the fundamental aspects of the Banach setting and explores the most significant Lie structures encountered in finite dimensions. The authors present these concepts within a unified framework, which serves as a common context for both projective and direct limits of Banach structures. By transitioning to these limits, the book establishes sufficient conditions for the existence of these structures, making them applicable in various mathematical and physical domains. Numerous examples across diverse fields serve to illustrate the diverse concepts introduced.

Numerous geometric structures found within the Banach setting possess stability when subjected to projective and direct limits, provided certain conditions are met. The convenient framework serves as a common context for these types of limits. The contents of this book can be regarded as an introduction to differential geometry in infinite dimensions, as well as a pathway for exploring new research topics.

This book empowers the intended audience to gain a deeper understanding of the extension of various topics in finite dimensional differential geometry to the Banach framework. Moreover, it highlights the preservation of properties by passing to projective and direct limits of such structures as a valuable tool in diverse fields of research.

Weight: 1070g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032561714