Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Lee, Dami"'
We discuss in detail Alan Schoen's I-WP surface, an embedded triply periodic minimal surface of genus 4 with cubical symmetries. We exhibit various geometric realizations of this surface with the same conformal structure and use them to prove that th
Externí odkaz:
http://arxiv.org/abs/2309.15010
We give a detailed description of the geometry of isotropic space, in parallel to those of Euclidean space within the realm of Laguerre geometry. After developing basic surface theory in isotropic space, we define spin transformations, directly leadi
Externí odkaz:
http://arxiv.org/abs/2303.13677
We solve the Bj\"orling problem for zero mean curvature surfaces in the three-dimensional light cone. As an application, we construct and classify all rotational zero mean curvature surfaces.
Comment: 15 pages, 5 figures
Comment: 15 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2303.04969
Autor:
Lee, Dami, Zhao, Casey
Objects with large symmetry groups have been an interest for many mathematicians. A classical question in geometry is whether a surface with certain geometric features, such as completeness, curvature, etc..., can embed in $\mathbb{R}^3.$ In a recent
Externí odkaz:
http://arxiv.org/abs/2209.00763
We compute the Zariski closure of the Kontsevich-Zorich monodromy groups arising from certain square tiled surfaces that are geometrically motivated. Specifically we consider three surfaces that emerge as translation covers of platonic solids and quo
Externí odkaz:
http://arxiv.org/abs/2208.08460
Autor:
Lee, Dami
A classical question in geometry is whether surfaces with given geometric features can be realized as embedded surfaces in Euclidean space. In this paper, we construct an immersed, but not embedded, infinite $\{3,7\}$-surface in $\mathbb{R}^3$ that i
Externí odkaz:
http://arxiv.org/abs/2112.10246
Autor:
Athreya, Jayadev S., Lee, Dami
We study translation covers of several triply periodic polyhedral surfaces that are intrinsically Platonic. We describe their affine symmetry groups and compute the quadratic asymptotics for counting saddle connections and cylinders, including the co
Externí odkaz:
http://arxiv.org/abs/1912.08398
Autor:
Lee, Dami, Ray, Catherine
The Narasimhan-Nori conjecture asks for a closed formula for the number of non-isomorphic principal polarizations of any given abelian variety. In this paper, we introduce a new algorithm that gives a lower bound on the number of non-isomorphic princ
Externí odkaz:
http://arxiv.org/abs/1811.07007
Autor:
Lee, Dami
In classical differential geometry, a central question has been whether abstract surfaces with given geometric features can be realized as surfaces in Euclidean space. Inspired by the rich theory of embedded triply periodic minimal surfaces, we seek
Externí odkaz:
http://arxiv.org/abs/1809.06321
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