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91.
Let M4 be a closed minimal hypersurface in \(\mathbb{S}^5\) with constant nonnegative scalar curvature. Denote by f3 the sum of the cubes of all principal curvatures, by g the number of distinct principal curvatures. It is proved that if both f3 and g are constant, then M4 is isoparametric. Moreover, the authors give all possible values for squared length of the second fundamental form of M4. This result provides another piece of supporting evidence to the Chern conjecture. 相似文献
92.
Yongxia Hao 《计算数学(英文版)》2020,38(6):868-878
In this paper, we present a new method to solve the Plateau-Bézier problem. A new
energy functional called weak-area functional is proposed as the objective functional to
obtain the approximate minimal Bézier surface from given boundaries. This functional
is constructed based on Dirichlet energy and weak isothermal parameterization condition.
Experimental comparisons of the weak-area functional method with existing Dirichlet,
quasi-harmonic, the strain energy-minimizing, harmonic and biharmonic masks are performed which show that the weak-area functional method are among the best by choosing
appropriate parameters. 相似文献
93.
本文对Lorentz空间型中的正常2-调和超曲面进行了完全分类,它的形状算子的极小多项式的阶数至多是2. 相似文献
94.
D. Barrera P. González M. Pasadas 《Journal of Computational and Applied Mathematics》2010,234(4):1058-1068
In this paper we present two different methods for filling in a hole in an explicit 3D surface, defined by a smooth function f in a part of a polygonal domain D⊂R2. We obtain the final reconstructed surface over the whole domain D. We do the filling in two different ways: discontinuous and continuous. In the discontinuous case, we fill the hole with a function in a Powell-Sabin spline space that minimizes a linear combination of the usual seminorms in an adequate Sobolev space, and approximates (in the least squares sense) the values of f and those of its normal derivatives at an adequate set of points. In the continuous case, we will first replace f outside the hole by a smoothing bivariate spline sf, and then we fill the hole also with a Powell-Sabin spline minimizing a linear combination of given seminorms. In both cases, we obtain existence and uniqueness of solutions and we present some graphical examples, and, in the continuous case, we also give a local convergence result. 相似文献
95.
二值命题逻辑系统中理论Г的带误差结论集是近似推理研究的基本对象,对其结构进行分析是近似推理研究中需要解决的问题。通过公式是有限理论Г的带误差结论的充要条件,利用集合划分方法,对有限理论Г的带误差结论集分别基于真度相等关系和逻辑等价关系进行分类,得到了基于两类等价关系的包含等价类个数和代表元表示形式的分类定理,进一步体现了二值命题逻辑系统近似推理研究中理论Г的带误差结论集的特征。 相似文献
96.
We develop a number of formulas and generating functions for the enumeration of general polyominoes inscribed in a rectangle of given size according to their area. These formulae are then used for the enumeration of lattice trees inscribed in a rectangle with minimum area plus one. 相似文献
97.
We study two properties of subgroups of a topological group (relative minimality and co-minimality), that generalize minimality. Many applications, mostly related to semidirect products and generalized Heisenberg groups are given. 相似文献
98.
99.
Daniel Meister 《Discrete Mathematics》2013,313(20):2262-2280
A minimal triangulation of a graph is a chordal supergraph with an inclusion-minimal edge set. Minimal triangulations are obtained from adding edges only to minimal separators, completing minimal separators into cliques. Permutation graphs are the comparability graphs whose complements are also comparability graphs. Permutation graphs can be characterised as the intersection graphs of specially arranged line segments in the plane, which is called a permutation diagram. The minimal triangulations of permutation graphs are known to be interval graphs, and they can be obtained from permutation diagrams by applying a geometric operation, that corresponds to the completion of separators into cliques. We precisely specify this geometric completion process to obtain minimal triangulations, and we completely characterise those interval graphs that are minimal triangulations of permutation graphs. 相似文献
100.
Sabine El Khoury 《代数通讯》2013,41(9):3259-3277
In this article, we study height four graded Gorenstein ideals I in k[x, y, z, w] such that I 2 is of height one and generated by three quadrics. After a suitable linear change of variables, I ∩ k[x, y, z] is either Gorenstein or of type two. The former case was studied by Iarrobino and Srinivasan [8] where they give the structure of the ideal and its resolution. We study the latter case and give the structure of these ideals and their minimal resolution. We also explicitly write the form of the generators of I and the maps in the free resolution of R/I. 相似文献