Special Lagrangian cones with higher genus links
By M. Haskins, N. Kapouleas. 2005
53 citations recorded by the source corpus.
For every odd natural number g=2d+1 we prove the existence of a countably infinite family of special Lagrangian cones in $\mathbb{C}^3$ over a closed Riemann surface of genus g, using a geometric PDE gluing method.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/8ad62a4730d5fddd4ecdcab54b942fb3fafd5086
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Minimal Surfaces in the Round Three‐Sphere by Doubling the Equatorial Two‐Sphere, II (2014, methodology): “e and so we will not discuss this issue further. In this paper we use also weighted H¨older norms. The definition we use is somewhat more flexible than the one used in some earlier work (for example in [16, 10, 14, 20, 4]): Definition 1.2. Assuming that Ω is a domain inside a manifold, gis a Riemannian”
- Free boundary minimal surfaces in the unit ball : recent advances and open questions (2019, methodology): “es in a wide range of geometric variational problems, including for example closed minimal surfaces in Sn [57] [52] [56], complete constant mean curvature surfaces in R3 [4], Special Lagrangian cones [36] [37] [38] and self shrinkers of mean curvature ow [53]. In the past few years, many of these po”