Matthew B. Stenzel

Asymptotic Curvature of Θ-Metrics

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.