منابع مشابه
Ruled Laguerre minimal surfaces
A Laguerre minimal surface is an immersed surface in R being an extremal of the functional ∫ (H/K− 1)dA. In the present paper, we prove that any ruled Laguerre minimal surface distinct from a plane is up to motion a convolution of the helicoid x = y tan z, the cycloid r(t) = (t− sin t, 1−cos t, 0) and the Plücker conoid (ax+ by) = z(x+y) for some a, b ∈ R. To achieve invariance under Laguerre t...
متن کاملThe Ruled Vertex and D - E Degenerations
We compute all genus topological amplitudes on configurations of ruled surfaces obtained by resolving lines of D-E singularities in compact Calabi-Yau threefolds. We find that our results are in agreement with genus zero mirror symmetry calculations, which is further evidence for the validity of the ruled vertex formalism for degenerate torus actions. ∗[email protected] †florea@physics...
متن کاملCircle-sum and Minimal Genus Surfaces in Ruled 4-manifolds
We describe a circle-sum construction of smoothly embedded surface in a smooth 4-manifold. We apply this construction to give a simpler solution of the minimal genus problem for nontrivial S2 bundles over surfaces. We also treat the case of blow-ups.
متن کاملRuled minimal surfaces in R with density e
We classify ruled minimal surfaces in R3 with density ez. It is showed that there is no noncylindrical ruled minimal surface and there is a family of cylindrical ruled minimal surfaces in R3 with density ez. It is also proved that all translation minimal surfaces are ruled. AMS Subject Classification (2000): Primary 53C25; Secondary 53A10; 49Q05
متن کاملDigital cohomology groups of certain minimal surfaces
In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1990
ISSN: 0004-2080
DOI: 10.1007/bf02387380