three-dimensional manifold 三维流形【dlr既浦n.涵olul.以‘侧d;印e翔epHOeM朋-roo6P臼浮互e] 一个拓扑空间(topofoglcal sPacc),它的每个点都有一个同胚于三维实空间R’或闭的半空间R几的邻域.这个定义通常补充要求三维流形作为拓扑空问是Hilusdo叮和有可数基的.三维流形的边界,即只有上面类型中的第二种...
In Chapters 1 and 6 we have seen how to solve a wide variety of problems concerning 2-manifolds. The success of 2-manifold topology is quite surprising when compared with dimension 3, where almost no algorithms are known. To see the contrast more clearly, let us first review what we know...
Given a compact, three-dimensional, real-analytic Lorentzian manifold (M,g) (M,g) , we prove that the identity component of the conformal group preserves a metric in the conformal class [g] [g] , or (M,g) (M,g) is conformally flat. C Frances,K Melnick 被引量: 0发表: 2021年 On...
In Chapters 1 and 6 we have seen how to solve a wide variety of problems concerning 2-manifolds. The success of 2-manifold topology is quite surprising when compared with dimension 3, where almost no algorithms are known. To see the contrast more clearly, let us first review what we know...
aup to point under consideration of 由点决定在研究中 [translate] aAs identi?ed by the previous section, trajectories belonging to a single object lie on a three-dimensional manifold. 作为identi ?编辑由前面的部分,属于一句唯一对象谎言的弹道在一根三维多头管。 [translate] ...
WecanfixsomeRiemannianmetricgonamanifold n Mofdimensionn whichdefinesthelengthofarcofapiecewisesmoothcurveandthecontinuous functionr(x;y)ofthedistancebetweentwopointsx,yÎ n M.Thetopology definedbythefunctionofdistance(metric)risthesameasthetopologyofthe manifold n M,[5]. Weshouldmentionthatitwillsuffice...
I. Onnis, Invariant surfaces of a three-dimensional manifold with constant Gauss curvature, J. Geom. Phys., vol. 55, 440-449, (2005).Montaldo, S.; Onnis, I.I. - Invariant surfaces of a three-dimensional manifold with constant Gauss curvature, J. Geom. Phys., 55 (2005), 440-449....
The first stage is the prime decomposition, obtained by repeatedly cutting a 3-manifold M3 along 2-spheres embedded in M 3 so that they separate the manifold into two parts neither of which is a 3-ball, and then gluing 3-balls to the resulting boundary components, thus obtaining closed 3...
Razpopov. On a three dimensional Riemannian manifold with an additional structure. arXiv:math.DG/0905.0801G. Dzhelepov, I. Dokuzova, and D. Razpopov, On a three-dimensional Riemannian manifold with an additional structure, Plovdiv. Univ. Paisi˘i Khilendarski Nauchn. Trud. Mat. 38 (2011...
The weight functions and the displacement functions of tetrahedron finite element covers are defined.The global equilibrium equations of three-dimensional numerical manifold method(3D NMM) based on finite element covers are established by minimizing the total potential energy.The stiffness matrix,initial st...