Notes on symmetric spaces
Jonathan Holland, Bogdan Ion
TL;DR
This paper provides an overview of symmetric spaces, discussing their properties and significance in differential geometry, based on lecture notes from a course taught at the University of Pittsburgh.
Contribution
It offers a comprehensive summary of symmetric spaces, highlighting key concepts and recent developments in the field.
Findings
Detailed classification of symmetric spaces
Connections to Lie groups and Riemannian geometry
Examples illustrating symmetric space structures
Abstract
These are notes from a lecture course on symmetric spaces by the second author given at the University of Pittsburgh in the fall of 2010.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Finite Group Theory Research