منابع مشابه
Close-packed dimers on nonorientable surfaces
Abstract The problem of enumerating dimers on an M×N net embedded on non-orientable surfaces is considered. We solve both the Möbius strip and Klein bottle problems for all M and N with the aid of imaginary dimer weights. The use of imaginary weights simplifies the analysis, and as a result we obtain new compact solutions in the form of double products. The compact expressions also permit us to...
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We describe a theory of Morse-Conley type for orientable and nonorientable minimal surfaces of varying topological type solving Plateau problems in R 3 . 1991 Mathematics Subject Classification 53A10, 49F10, 58E12, 32G 15 After J. Douglas had solved Plateau's problem (this was also independently achieved by T. Rad6), he considered the problem of finding minimal surfaces of higher genus and/or c...
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Symmetry is one of the most important properties of a shape, unifying form and function. It encodes semantic information on one hand, and affects the shape’s aesthetic value on the other. Symmetry comes in many flavors, amongst the most interesting being intrinsic symmetry, which is defined only in terms of the intrinsic geometry of the shape. Continuous intrinsic symmetries can be represented ...
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Knots and knotted fields enrich physical phenomena ranging from DNA and molecular chemistry to the vortices of fluid flows and textures of ordered media. Liquid crystals provide an ideal setting for exploring such topological phenomena through control of their characteristic defects. The use of colloids in generating defects and knotted configurations in liquid crystals has been demonstrated fo...
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In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2003
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171203204038