Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Kusner, Robert B."'
Autor:
Senyuk, Bohdan, Liu, Qingkun, He, Sailing, Kamien, Randall D., Kusner, Robert B., Lubensky, Tom C., Smalyukh, Ivan I.
Publikováno v:
Nature 493, 200-205 (2013)
Abundant in nature, colloids also find increasingly important applications in science and technology, ranging from direct probing of kinetics in crystals and glasses to fabrication of third-generation quantum-dot solar cells. Because naturally occurr
Externí odkaz:
http://arxiv.org/abs/1612.08753
Publikováno v:
American Journal of Mathematics 137 (2015), no. 2, 411-438
We consider the expected value for the total curvature of a random closed polygon. Numerical experiments have suggested that as the number of edges becomes large, the difference between the expected total curvature of a random closed polygon and a ra
Externí odkaz:
http://arxiv.org/abs/1210.6537
Publikováno v:
Geom. Dedicata 166:1 (2013), 15-29
There is no 5,7-triangulation of the torus, that is, no triangulation with exactly two exceptional vertices, of degree 5 and 7. Similarly, there is no 3,5-quadrangulation. The vertices of a 2,4-hexangulation of the torus cannot be bicolored. Similar
Externí odkaz:
http://arxiv.org/abs/1207.3605
Autor:
Grosse-Brauckmann, Karsten, Korevaar, Nicholas J., Kusner, Robert B., Ratzkin, Jesse, Sullivan, John M.
Publikováno v:
Int. Math. Res. Not. 2009, 3391-3416
We prove each embedded, constant mean curvature (CMC) surface in Euclidean space with genus zero and finitely many coplanar ends is nondegenerate: there is no nontrivial square-integrable solution to the Jacobi equation, the linearization of the CMC
Externí odkaz:
http://arxiv.org/abs/0712.1865
We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors in arXiv:math.DG/0102
Externí odkaz:
http://arxiv.org/abs/math/0509210
Probably the most natural energy functional to be considered for knotted strings is the one given by the electrostatic repulsion. In the absence of counter-charges, a charged, knotted string evolving along the energy gradient of electrostatic repulsi
Externí odkaz:
http://arxiv.org/abs/physics/0201018
In 1841, Delaunay constructed the embedded surfaces of revolution with constant mean curvature (CMC); these unduloids have genus zero and are now known to be the only embedded CMC surfaces with two ends and finite genus. Here, we construct the comple
Externí odkaz:
http://arxiv.org/abs/math/0102183
We announce the classification of complete, almost embedded surfaces of constant mean curvature, with three ends and genus zero: they are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.
Externí odkaz:
http://arxiv.org/abs/math/9903101
Autor:
Kusner, Robert B., Sullivan, John M.
Publikováno v:
in "Topology and Geometry in Polymer Science" (IMA 103), Springer, 1998, pp 67-78
What length of rope (of given diameter) is required to tie a particular knot? To answer this question, we define some new notions of thickness for a space curve, one based on Gromov's distortion, and another generalizing the thickness of Litherland,
Externí odkaz:
http://arxiv.org/abs/dg-ga/9702001
Publikováno v:
American Journal of Mathematics, 2003 Dec 01. 125(6), 1335-1348.
Externí odkaz:
https://www.jstor.org/stable/25099220
