Sectional and Ricci Curvature for Three-Dimensional Lie Groups
Joint Authors
Thompson, Gerard
Bhattarai, Giriraj
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are determined.
The results are applied to a systematic study of the curvature properties of invariant metrics on three-dimensional Lie groups.
In each case the metric is reduced by using the automorphism group of the associated Lie algebra.
In particular, the maximum and minimum values of the sectional curvature function are determined.
American Psychological Association (APA)
Thompson, Gerard& Bhattarai, Giriraj. 2016. Sectional and Ricci Curvature for Three-Dimensional Lie Groups. Journal of Mathematics،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1108948
Modern Language Association (MLA)
Thompson, Gerard& Bhattarai, Giriraj. Sectional and Ricci Curvature for Three-Dimensional Lie Groups. Journal of Mathematics No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1108948
American Medical Association (AMA)
Thompson, Gerard& Bhattarai, Giriraj. Sectional and Ricci Curvature for Three-Dimensional Lie Groups. Journal of Mathematics. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1108948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108948
