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Sigurdur Helgason, “Differential Geometry and Symmetric Spaces”

Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail.

Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own three-volume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there are now many competing texts, the chapters on differential geometry and Lie groups continue to be among the best treatments of the subjects available. There is also a well-developed treatment of Cartan's classification and structure theory of symmetric spaces. The last chapter, on functions on symmetric spaces, remains an excellent introduction to the study of spherical functions, the theory of invariant differential operators, and other topics in harmonic analysis. This text is rightly called a classic.

Sigurdur Helgason was awarded the Steele Prize for Groups and Geometric Analysis and the companion volume, Differential Geometry, Lie Groups and Symmetric Spaces.

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	Study Differential Geometry, Lie Groups, and Symmetric Spaces Differential Geometry, Lie Groups, and Symmetric SpacesAcademic Pr \| ISBN 3540262539 \| 1978-12 \| PDF \| 628 pages \| 6.61 MBThis is a considerably expanded version of the first 75% of the authors Differential Geometry and Symmetric Spaces, Ac ...
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	Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory Author: Armand Borel, Lizhen JiPublisher: Birkh?user Boston (2005)Binding: Hardcover, 479 pagespricer: $79.95ISBN-10: 0817632476editorialreviewsNoncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories ...
	Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) Author: Sigurdur HelgasonPublisher: American Mathematical Society (2001)Binding: Hardcover, 641 pagespricer: $72.00ISBN-10: 0821828487editorialreviewsThe study of homogeneous spaces provides excellent insights into both differential geomet ...

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	Study Differential Geometry, Lie Groups, and Symmetric Spaces Differential Geometry, Lie Groups, and Symmetric SpacesAcademic Pr \| ISBN 3540262539 \| 1978-12 \| PDF \| 628 pages \| 6.61 MBThis is a considerably expanded version of the first 75% of the authors Differential Geometry and Symmetric Spaces, Ac ...
	Causal Symmetric Spaces: Geometry and Harmonic Analysis (Perspectives in Mathematics) Causal Symmetric Spaces: Geometry and Harmonic Analysis (Perspectives in Mathematics)Academic Pr \| ISBN: 012525430X \| 1996-08 \| PDF \| 286 pages \| 4 Mb The notion of causality enters in math (both in its elementary forms, as well as in its ...
	Science/Engineering Curved Spaces: From Classical Geometries to Elementary Differential Geometry Curved Spaces: From Classical Geometries to Elementary Differential GeometryPublisher: Cambridge University \| Pages: 196 \| 2008-01-14 \| ISBN 0521713900 \| PDF \| 1 MBThis self-contained textbook presents an exposition of the well-known cla ...
	Science/Engineering Differential Geometry, Lie Groups, and Symmetric Spaces (Pure and Applied Mathematics,Vol 80): Sigurdur Helgason Differential Geometry, Lie Groups, and Symmetric Spaces (Pure and Applied Mathematics,Vol 80): Sigurdur Helgason Academic Press \| ISBN: 0123384605 \| 1978-12 \| djvu (ocr) \| 628 pages \| 4.22 Mb This is a considerably expanded version of the ...
	Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory Author: Armand Borel, Lizhen JiPublisher: Birkh?user Boston (2005)Binding: Hardcover, 479 pagespricer: $79.95ISBN-10: 0817632476editorialreviewsNoncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories ...
	Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) Author: Sigurdur HelgasonPublisher: American Mathematical Society (2001)Binding: Hardcover, 641 pagespricer: $72.00ISBN-10: 0821828487editorialreviewsThe study of homogeneous spaces provides excellent insights into both differential geomet ...

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