Constant Mean Curvature (CMC)
ON DISCRETE CONSTANT MEAN CURVATURE SURFACES
... a curvature theory for polyhedral surfaces has been established which associates with each face a mean curvature value computed from areas and mixed areas of that face and its corresponding Gaussian ...
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Constant mean curvature hypersurfaces with constant δ invariant
... where H 2 is the squared mean curvature function and n is the dimension of the submanifold. Clearly, every isoparametric hypersurface in S 4 or in E 4 has constant mean curvature and ...
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Constant Mean Curvature 1/2 Surfaces in H2 × R
... of constant mean curvature (cmc) hyper- surfaces and specifically cmc 1/2 surfaces in the three-manifold H 2 × ...critical mean curvature for H 2 × R, in that there do no exist closed ...
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2 Integrable Systems of Constant Mean Curvature Surfaces in Hyperbolic 3-Space H
... in hyperbolic space Magdalena Toda Abstract This report contains a new approach to the topic of immersions of constant mean curvature |H| > 1 in H 3 (−1), their adjusted Gauss maps (as harmonic ...
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Constant Mean Curvature Annuli in Homogeneous Manifolds
... k ∈ {1, 2, 3, 4}. There is H 0 ∈ (0, 1) such that for H ∈ (0, H 0 ) non-embedded solution curves with turning number 5 exist and converge to a multiple cover of the embedded MC H-cylinder as H → H 0 . In a second chapter ...
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Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space
... with constant mean curvature in arbitrary spacetimes play an important part in the relativity ...zero mean curvature are the spacelike ...
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A HOPF DIFFERENTIAL FOR CONSTANT MEAN CURVATURE SURFACES IN S 2 R AND H 2 R
... 2000 Mathematics Subject Classification. Primary 53A10; Secondary 53C42. Key words and phrases. Surfaces with constant mean curvature, Codazzi equations, holomorphic quadratic differentials, ...
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Diploma Thesis. Compact surfaces of constant mean curvature in the 3-sphere
... globally constant Hopf differential one has to consider tori and those have been studied very in- tensively by Bobenko (see [3], [4] and [5]) applying methods from integrable systems ...
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Spacelike hypersurfaces in de Sitter space with constant higher order mean curvature
... with constant Gauss curvature or constant mean curvature in R 3 is a ...Gauss curvature and mean curvature are the rth mean curvature H r , r = 1, ...
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ON REPRESENTATION OF BOUNDARY INTEGRALS INVOLVING\ud THE MEAN CURVATURE FOR MEAN-CONVEX DOMAINS
... surface with constant mean curvature (see. [13, Theorem 6.17]). This point of view has been recently used in [9] to prove an anisotropic version of Alexandrov’s theorem for compact embedded ...
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On the boundary mean curvature equation on \(\mathbb{B}^{n}\)
... 206, 373-398 (2004) 6. Al-Ghamdi, MA, Chtioui, H, Sharaf, K: Topological methods for boundary mean curvature problem on B n . Adv. Nonlinear Stud. 14(2), 445-461 (2014) 7. Chang, SA, Xu, X, Yang, PC: A ...
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EXTENSIONS OF CONSTANT CURVATURE
... The Riemann extension of Riemannian or non-Riemannian spaces can be constructed with the help of the Christoffel coefficients Γ i jk of corresponding Riemann space or with connection coefficients Π i jk in the case of ...
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Quantization in spaces of constant curvature
... summarised in the next section. ' ' I Though it is powerful and rigorous, 'Mackey’s scheme seems not to fu lf il some physically desirable requirements. Classically, when a particle displays a free motion in some ...
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quasi-constant curvature manifolds
... quasi-constant curvature manifolds Mehmet G¨ulbahar, Erol Kılı¸c, Sadık Kele¸s and Mukut Mani Tripathi ...squared mean curva- ture and one of the Ricci curvature, the scalar curvature ...
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Randers manifolds of positive constant curvature
... AUREL BEJANCU and HANI REDA FARRAN Received 7 November 2001 We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be ...
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Geodesic on surfaces of constant Gaussian curvature
... Gaussian curvature can tell us a lot about a ...would mean that the Gaussian curvature would not be a geometric invariant and, therefore, would not be as helpful in studying ...
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Simplices modelled on spaces of constant curvature
... spheres, for example, are very light. It su ces that the vertices be contained in an open hemisphere, and do not lie on a lower dimensional sphere of the same radius. Our former approach was therefore poorly attuned to ...
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Regularity theorems for varifolds with mean curvature
... The theory is developed for general systems of equations satisfying certain algebraic constraints, which are satisfied by the equations arising from arbitrary param[r] ...
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Other Earths: Search for Life and the Constant Curvature
... Space highways or Riemann paths are parallel to each other if they are in the same direction. The location of the event point earth (or exactly similar earth type planet) is whe- re a Riemann path or space highway ...
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Lines of constant geodesic curvature and the k flows
... an energy level, say velocity == 1, then the geodesic flow on T1M is a global description of all the possible. orbits of the system[r] ...
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