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

dc.contributor.author	Jang, Changrim
dc.contributor.author	Parker, Phillip E.
dc.date.accessioned	2012-06-20T20:57:53Z
dc.date.available	2012-06-20T20:57:53Z
dc.date.issued	2005
dc.identifier.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.	en_US
dc.identifier.issn	0232-704X
dc.identifier.issn	1572-9060
dc.identifier.uri	http://hdl.handle.net/10057/5196
dc.identifier.uri	http://dx.doi.org/10.1007/s10455-005-5430-8
dc.identifier.uri	http://arxiv.org/pdf/math/0302029v4.pdf
dc.description	Click on the DOI link below to access the article (may not be free).	en_US
dc.description.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.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Springer	en_US
dc.relation.ispartofseries	Annals of Global Analysis and Geometry;v.28 no.1
dc.title	Conjugate loci of pseudo-Riemannian 2-step nilpotent Lie groups with nondegenerate center	en_US
dc.type	Article	en_US
dc.description.version	Peer reviewed
dc.rights.holder	© 2005, Springer Netherlands