Notes on Symmetric Spaces
by Jonathan Holland, Bogdan Ion
Publisher: arXiv 2012
Number of pages: 109
Description:
Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.
Download or read it online for free here:
Download link
(750KB, PDF)
Similar books
Cusps of Gauss Mappingsby Thomas Banchoff, Terence Gaffney, Clint McCrory - Pitman Advanced Pub. Program
Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.
(17827 views)
Global Theory Of Minimal Surfacesby David Hoffman - American Mathematical Society
The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.
(13054 views)
Functional Differential Geometryby Gerald Jay Sussman, Jack Wisdom - MIT
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.
(13680 views)
Lectures on Fibre Bundles and Differential Geometryby J.L. Koszul - Tata Institute of Fundamental Research
From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).
(12924 views)