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

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    Peer reviewed article (262.4Kb)
    Date
    2005
    Author
    Jang, Changrim
    Parker, Phillip E.
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    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.
    Description
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    URI
    http://hdl.handle.net/10057/5196
    http://dx.doi.org/10.1007/s10455-005-5430-8
    http://arxiv.org/pdf/math/0302029v4.pdf
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