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

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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

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