Curvature of Island Arcs

Electromagnetic View of the Seismogenic Zones Beneath Island Arcs

Closed Space Curves of Constant Curvature Consisting of Arcs of Circular Helices

A closed κ0-curve is a closed regular curve of class C r (r ≥ 2) in the Euclidean 3-space having constant curvature κ0 > 0. We present various examples of nonplanar closed κ0-curves of class C , which are composed of n arcs of circular helices. The construction of c starts from the spherical image (= tangent indicatrix) c of c, which then has to be a closed regular curve of class C on the unit ...

Minimal Surfaces of Least Total Curvature and Moduli Spaces of Plane Polygonal Arcs

Introduction. The rst major goal of this paper is to prove the existence of complete minimal surfaces of each genus p > 1 which minimize the total curvature (equivalently, the degree of the Gau map) for their genus. The genus zero version of these surfaces is known as Enneper's surface (see [Oss2]) and the genus one version is due to Chen-Gackstatter ([CG]). Recently, experimental evidence for ...

THE SOURCES OF ISLAND ARCS AS INDICATED BY Nd AND Sr ISOTOPIC STUDIES

Abstmct: Island arc lavas from New Britain and the Marianas have 143 Nd/144 Nd similar to other oceanic basalts and distinctly different from continental flood basalts and thus appear to be derived from a high Sm/Nd, light-REE-depleted reservoir. Consideration of both Nd and Sr isotopes suggests seawater involvement in the generation of some island arc lavas and thus indicates that they may be ...

Accurate Curvature Estimation along Digital Contours with Maximal Digital Circular Arcs

We propose in this paper a new curvature estimator based on the set of maximal digital circular arcs. For strictly convex shapes with continuous curvature fields digitized on a grid of step h, we show that this estimator is mutligrid convergent if the discrete length of the maximal digital circular arcs grows in Ω(h− 1 2 ). We indeed observed this order of magnitude. Moreover, experiments showe...