Conjugate loci of pseudo-Riemannian 2-step nilpotent Lie groups with nondegenerate center

Loading...
Thumbnail Image
Authors
Jang, Changrim
Parker, Phillip E.
Advisors
Issue Date
2005
Type
Article
Keywords
Research Projects
Organizational Units
Journal Issue
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
PubMed ID
DOI
ISSN
0232-704X
1572-9060
EISSN