Loading...
Conjugate loci of pseudo-Riemannian 2-step nilpotent Lie groups with nondegenerate center
Jang, Changrim Parker, Phillip E.
Jang, Changrim
Parker, Phillip E.
Citations
Altmetric:
Authors
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
2005
Type
Article
Genre
Keywords
Subjects (LCSH)
Citation
Jang, C. and P. E. Parker (2005). Conjugate loci of pseudoriemannian 2-step nilpotent Lie groups with nondegenerate center. Annals of Global Analysis and Geometry 28: 1–18.
Abstract
We determine the complete conjugate locus along all geodesics parallel or perpendicular
to the center (Theorem 2.3). When the center is one-dimensional we obtain formulas in all cases
(Theorem 2.5), and when a certain operator is also diagonalizable these formulas become completely
explicit (Corollary 2.7). These yield some new information about the smoothness of the pseudoriemannian
conjugate locus. We also obtain the multiplicities of all conjugate points.
Table of Contents
Description
Click on the DOI link below to access the article (may not be free).
Publisher
Springer
Journal
Book Title
Series
Annals of Global Analysis and Geometry;v.28 no.1
Digital Collection
Finding Aid URL
Use and Reproduction
Archival Collection
PubMed ID
DOI
ISSN
0232-704X
1572-9060
1572-9060