Grassmann and Stiefel Varieties over Composition Algebras
2023 ed.
Book Details
Format
Paperback / Softback
Book Series
RSME Springer Series
ISBN-10
3031364074
ISBN-13
9783031364075
Edition
2023 ed.
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 18th, 2024
Print length
334 Pages
Product Classification:
Differential & Riemannian geometryDifferential and Riemannian geometry
Ksh 23,400.00
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This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their elements as matrix arrays. Classical matrix manifolds (Stiefel, Grassmann and flag manifolds) are studied in a more general setting.
This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their elements as matrix arrays. Classical matrix manifolds (Stiefel, Grassmann and flag manifolds) are studied in a more general setting. It provides tools to investigate matrix varieties over Pythagorean formally real fields. The presentation of the book is reasonably self-contained. It contains a number of nontrivial results on matrix manifolds useful for people working not only in differential geometry and Riemannian geometry but in other areas of mathematics as well. It is also designed to be readable by a graduate student who has taken introductory courses in algebraic and differential geometry.
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