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Multidisciplinary design optimization Differential geometry Riemannian optimization

quantum mechanics symmetry magnetic fields Differential geometry harmonic analysis topological terms

The theory of heat flow on a surface shows that any curvilinear quadrilateral can be ‘tiled’ with curvilinear squares of varying size. This paper demonstrates a simple numerical technique for doing this that can also be applied...

isothermal coordinates tension coefficient Dynamic relaxation tiling Differential geometry harmonic coordinates

The inverse Higgs phenomenon, which plays an important r\^ole in physical systems with Goldstone bosons (such as the phonons in a crystal) involves nonholonomic mechanical constraints. By formulating field theories...

inverse Higgs constraints goldstone bosons jet manifolds Differential geometry holonomic constraints non-holonomic constraints

The theory of heat flow on a surface shows that any curvilinear quadrilateral can be ‘tiled’ with curvilinear squares of varying size. This paper demonstrates a simple numerical technique for doing this that can also be applied...

isothermal coordinates tension coefficient Dynamic relaxation tiling Differential geometry harmonic coordinates