Embedded surfaces

In this paper we will prove the CalabiYau conjectures for embedded surfaces (i.e., surfaces without selfintersection). In fact, we will prove considerably more. The heart of our argument is very general and should apply to a variety of situations, as will be more apparent once we describe the main steps of the proof later in the introduction.
34p dontetvui 17012013 18 7 Download

Đề tài " The space of embedded minimal surfaces of fixed genus in a 3manifold III; Planar domains "
Annals of Mathematics This paper is the third in a series where we describe the space of all embedded minimal surfaces of ﬁxed genus in a ﬁxed (but arbitrary) closed 3manifold. In [CM3]–[CM5] we describe the case where the surfaces are topologically disks on any ﬁxed small scale. Although the focus of this paper, general planar domains, is more in line with [CM6], we will prove a result here (namely, Corollary III.
51p tuanloccuoi 04012013 19 7 Download

This paper is the ﬁrst in a series where we describe the space of all embedded minimal surfaces of ﬁxed genus in a ﬁxed (but arbitrary) closed Riemannian 3manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in R3 (with the ﬂat metric). This study is undertaken here and completed in [CM6]. These local results are then applied in [CM7] where we describe the general structure of ﬁxed genus surfaces in 3manifolds. There are two local models for...
43p tuanloccuoi 04012013 33 6 Download

The space of embedded minimal surfaces of ﬁxed genus in a 3manifold II; Multivalued graphs in disks By Tobias H. Colding and William P. Minicozzi II* 0. Introduction This paper is the second in a series where we give a description of the space of all embedded minimal surfaces of ﬁxed genus in a ﬁxed (but arbitrary) closed 3manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in R3 . We show here that if the curvature of such a disk...
25p tuanloccuoi 04012013 24 5 Download

PVC tubing, creating the effect of diaphanous surfaces of flowing plastic hair that create shade and accommodate program. The sensuous lines are a constructive solution that cumulatively define the larger surfaces and representationally echo the digital method that made them. That is, the lines define the physical surface in the same way that embedded surface curves, or isoparms, make up a digitally ruled or lofted, one. Massie's method coordinates well with conventional building materials.
22p quynho77 13112012 30 0 Download

This paper is the fourth in a series where we describe the space of all embedded minimal surfaces of ﬁxed genus in a ﬁxed (but arbitrary) closed 3manifold. The key is to understand the structure of an embedded minimal disk in a ball in R3 . This was undertaken in [CM3], [CM4] and the global version of it will be completed here; see the discussion around Figure 12 for the local case and [CM15] for some more details. Our main results are Theorem 0.1 (the lamination theorem) and Theorem 0.2 (the onesided curvature estimate). ...
44p tuanloccuoi 04012013 26 6 Download

In this paper we study some properties of reducible surfaces, in particular of unions of planes. When the surface is the central ﬁbre of an embedded ﬂat degeneration of surfaces in a projective space, we deduce some properties of the smooth surface which is the general ﬁbre of the degeneration from some combinatorial properties of the central ﬁbre. In particular, we show that there are strong constraints on the invariants of a smooth surface which degenerates to conﬁgurations of planes with global normal crossings or other mild singularities. ...
62p noel_noel 17012013 20 5 Download

We give a complete topological classiﬁcation of properly embedded minimal surfaces in Euclidian threespace. 1. Introduction In 1980, Meeks and Yau [15] proved that properly embedded minimal surfaces of ﬁnite topology in R3 are unknotted in the sense that any two such homeomorphic surfaces are properly ambiently isotopic. Later Frohman [6] proved that any two triply periodic minimal surfaces in R3 are properly ambiently isotopic.
21p dontetvui 17012013 25 5 Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: The role of the surfaces in the photon absorption in Ge nanoclusters embedded in silica
7p sting05 09022012 19 4 Download

The first block is responsible for receiving and amplifying the brain signal, allocating electrodes into specific places on the scalp in the case of the use of electrodes on the surface, or inside brain in the intracortical use cases, in the second block signal is sampled, the quantity and periodic system of time to digitize it, to simplify the following digitized phase signal can be filtered, for example to reduce the noise level is Better SNR or signal identification and processing artifacts....
238p lulanphuong 26032012 38 4 Download

Porcine reproductive and respiratory syndrome (PRRS) is one of the most significant swine diseases worldwide. Despite its relevance, serum biomarkers associated with earlyonset viral infection, when clinical signs are not detectable and the disease is characterized by a weak antiviral response and persistent infection, have not yet been identified. Surfaceenhanced laser desorption ionization time of flight mass spectrometry (SELDITOF MS) is a reproducible, accurate, and simple method for the identification of biomarker proteins related to disease in serum.
27p ut_hai_can 25122012 16 4 Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: On the connectivity of graphs embedded in surfaces II
27p lame_266 12092011 17 2 Download

In this chapter, the analytical embedded atom method and calculating Gibbs free energy method are introduced briefly. Combining these methods with molecular dynamic and Monte Carlo techniques, thermodynamics of nanosilver and alloy particles have been studied systematically.
0p 123859674 02072012 52 13 Download

The correctness of many systems and devices in our modern society depends not only on the effects or results they produce but also on the time at which these results are produced. These realtime systems range from the antilock braking controller in automobiles to the vitalsign monitor in hospital intensivecare units.
9p vaseline 23082010 55 12 Download

We study random surfaces which arise as height functions of random perfect matchings (a.k.a. dimer conﬁgurations) on a weighted, bipartite, doubly periodic graph G embedded in the plane. We derive explicit formulas for the surface tension and local Gibbs measure probabilities of these models. The answers involve a certain plane algebraic curve, which is the spectral curve of the Kasteleyn operator of the graph. For example, the surface tension is the Legendre dual of the Ronkin function of the spectral curve.
39p noel_noel 17012013 27 5 Download

In this paper we will discuss the geometry of ﬁnite topology properly embedded minimal surfaces M in R3 . M of ﬁnite topology means M is homeomorphic to a compact surface M (of genus k and empty boundary) minus a ﬁnite number of points p1 , ..., pj ∈ M , called the punctures. A closed neighborhood E of a puncture in M is called an end of M . We will choose the ends suﬃciently small so they are topologically S 1 × [0, 1) and hence, annular. We remark that M is orientable since M is properly...
33p noel_noel 17012013 21 4 Download

(BQ) Machining speed and surface integrity continue to be issues of focus in current wire EDM research. In this light, the proofofconcept of a hybrid wire EDM process that utilizes a wire embedded with electrically nonconducting abrasives is presented. Material removal in this novel process is realized through electrical erosion that is augmented by twobody abrasion. This is shown to bring about a significant improvement in the removal rate and generate surfaces with minimal recast material, in comparison to an equivalent wire EDM process.
4p xuanphuongdhts 27032017 11 1 Download