Global ETD Search
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Showing 1 to 3 of 3 for “"Flat tori"”.
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Equilibrium graphs on the flat torus or finding zen amidst the bull
… graphs on the plane to the setting of flat tori. In particular, we consider the classical Maxwell–Cremona correspondence and a number of different planar morphing algorithms. The Maxwell–Cremona correspondence, through a more modern computational geometry lens, can be summarized as …
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Deformations and gluing of asymptotically cylindrical manifolds with exceptional holonomy
… by resolving singularities of quotients of flat tori. Later Kovalev found different examples by gluing pairs of exponentially asymptotically cylindrical (EAC) G_2-manifolds (not necessarily with holonomy exactly G_2) whose cylinders match. The result of this gluing construction can be …
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Flat surfaces of finite type in the 3-sphere
We introduce the notion of flat surfaces of finite type in the 3- sphere, give the algebro-geometric description in terms of spectral curves and polynomial Killing fields, and show that finite type flat surfaces generated by curves on S2 with periodic curvature functions are dense in the space of …