Grassmann and Stiefel Varieties over Composition Algebras

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Synopsis

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.

Book details

Edition:
1st ed. 2023
Series:
RSME Springer Series (Book 9)
Author:
Marek Golasiński, Francisco Gómez Ruiz
ISBN:
9783031364051
Related ISBNs:
9783031364044
Publisher:
Springer Nature Switzerland
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2023-09-16
Usage restrictions:
Copyright
Copyright date:
2023
Copyright by:
The Editor 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction