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pro vyhledávání: '"Lee, Hojoo"'
On the extracellular network of interacting proteins that patterns the embryonic dorsal-ventral axis
Autor:
Lee, Hojoon
Publikováno v:
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Thesis (Ph. D.)--UCLA, 2007.
Vita. Includes bibliographical references (leaves 159-182).
Vita. Includes bibliographical references (leaves 159-182).
Externí odkaz:
http://proquest.umi.com/pqdweb?did=1317324081&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD
Publikováno v:
Mathematische Nachrichten 297 (2024), no. 5, 1581-1600
We develop a conformal duality for spacelike graphs in Riemannian and Lorentzian three-manifolds that admit a Riemannian submersion over a Riemannian surface whose fibers are the integral curves of a Killing vector field, which is timelike in the Lor
Externí odkaz:
http://arxiv.org/abs/2306.00562
Autor:
Lee, Hojoo
We construct new integrable systems to present Weierstrass type representations for spacelike surfaces whose mean curvature vector $\mathbf{H}$ satisfies the null condition $\langle \mathbf{H}, \mathbf{H} \rangle=0$ in the four dimensional Lorentz-Mi
Externí odkaz:
http://arxiv.org/abs/2202.09800
Autor:
Kwong, Kwok-Kun, Lee, Hojoo
We present an elementary criterion to show the length-minimizing property of geodesics for a large class of conformal metrics. In particular, we prove the length-minimizing property of level curves of harmonic functions and the length-minimizing prop
Externí odkaz:
http://arxiv.org/abs/2202.00942
Autor:
Kwong, Kwok-Kun, Lee, Hojoo
Using Fourier analysis, we derive Wirtinger-type inequalities of arbitrary high order. As applications, we prove various sharp geometric inequalities for closed curves on the Euclidean plane. In particular, we obtain both sharp lower and upper bounds
Externí odkaz:
http://arxiv.org/abs/2008.07242
Autor:
Lee, Hojoo
Inspired by the Finn-Osserman (1964), Chern (1969), do Carmo-Peng (1979) proofs of the Bernstein theorem, which characterizes flat planes as the only entire minimal graphs, we prove a new rigidity theorem for associate families connecting the doubly
Externí odkaz:
http://arxiv.org/abs/1812.01401
Autor:
Lee, Hojoo
In this expository article, we illustrate how two independent flat structures on minimal surfaces induce a harmonic function, which captures the uniqueness of Enneper's surface.
Comment: Comments welcome
Comment: Comments welcome
Externí odkaz:
http://arxiv.org/abs/1802.08169
A one-sentence proof of the Bernstein type theorem for special Lagrangian equation in two dimensions
Autor:
Lee, Hojoo
The aim of this expository article is to reveal the equivalence of J\"orgens' Theorem on the two dimensional unimodular Hessian equation and Fu's Theorem on the two dimensional special Lagrangian equation.
Comment: One page. Comments welcome
Comment: One page. Comments welcome
Externí odkaz:
http://arxiv.org/abs/1712.01692
In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical rotational symmetry. We also propose new existence and uniqueness prob
Externí odkaz:
http://arxiv.org/abs/1708.09113
Autor:
Lee, Hojoo
Generalizing the Cauchy-Riemann equations, we construct the Osserman system of the first order for a pair $\left(f(x, y), g(x,y) \right)$ of two ${\mathbb{R}}$-valued functions on the domain $\Omega \subset {\mathbb{R}}^{2}$. The graph $\left\{\, \le
Externí odkaz:
http://arxiv.org/abs/1706.05751