Title | Statistical Thermodynamics and Differential Geometry of Microstructured Materials [electronic resource] / edited by H. Ted Davis, Johannes C. C. Nitsche |
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Imprint | New York, NY : Springer New York, 1993 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8324-6 |
Descript | XV, 172 p. online resource |
The geometric calculus of variations and modelling natural phenomena -- Hyperbolic statistical analysis -- A crystallographic approach to 3-periodic minimal surfaces -- The conformation of fluid vesicles -- Harmonic maps for bumpy metrics -- Periodic surfaces that are extremal for energy functionals containing curvature functions -- The least gradient method for computing area-minimizing hypersurfaces -- Modelling of homogeneous sinters and some generalizations of plateauโs problem -- A generalization of a theorem of Delaunay on constant mean curvature surfaces -- Willmore surfaces and computers -- Difference versus Gaussian curvature energies; monolayer versus bilayer curvature energies; applications to vesicle stability