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Asymptotic Curvature of Θ-Metrics

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Abstract

We give an explicit and reasonably simple expression for the curvature tensor of a Θ-metric at boundary points, in terms of the metric tensor and invariants of the Θ-structure. We examine the behavior of the induced metric on level sets of a defining function near the boundary and describe the asymptotic behavior of its curvature tensor. Some applications of these results are given.

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Authors and Affiliations

  1. Ohio State University, Newark Campus, 1179 University Drive, Newark, OH, 43055, U.S.A.

    Matthew B. Stenzel

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  1. Matthew B. Stenzel
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Stenzel, M.B. Asymptotic Curvature of Θ-Metrics. Annals of Global Analysis and Geometry 15, 243–262 (1997). https://doi.org/10.1023/A:1006538612059

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