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- W2183291202 abstract "The physics of two-dimensional condensed matter systems is a rich and mature subject. In these lectures we will explore the effects induced in the ground state of a thin layer of material by the Gaussian curvature of the substrate on which it is deposited. Specific examples include liquid crystalline order at the curved interface between two immiscible fluids, thin films of He wetting a corrugated substrate and two dimensional crystals on a lithographically prepared curved substrate. While these systems are physically distinct, some of the consequences of the varying Gaussian curvature of the substrate or interface can be understood within a unifying perspective. It is the purpose of this introduction to illustrate basic concepts and mathematical techniques such as conformal invariance (and its breaking), geometric gauge field theories and classical results of differential geometry. Selected readings from the the following references will be suggested to cover technical aspects that cannot be emphasized in such a short course." @default.
- W2183291202 created "2016-06-24" @default.
- W2183291202 creator A5061524700 @default.
- W2183291202 date "2010-01-01" @default.
- W2183291202 modified "2023-09-27" @default.
- W2183291202 title "Four lectures on geometry and elasticity" @default.
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- W2183291202 hasPublicationYear "2010" @default.
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