In the differential geometry of surfaces, the Monge patch designates the parameterization of a surface by its height over a flat reference plane.[1][2][3] It is also called Monge parameterization[4] or Monge form.[5]
In physical theory of surface and interface roughness, and especially in the study of shape conformations of membranes, it is usually called the Monge gauge,[6] or less frequently the Monge representation.[7]
- ^ O'Neill, B (1966). Elementary Differential Geometry. Orlando: Academic Press.
- ^ Gray, A (1993). Modern differential geometry of curves and surfaces. Boca Raton: CRC Press. ISBN 978-0849378720.
- ^ Bloch, ED (1997). A First Course in Geometric Topology and Differential Geometry. Boston: Birkhäuser. ISBN 978-0817681210.
- ^ Hsiung, C-C (1981). A First Course in Differential Geometry. New York: Wiley Interscience. ISBN 978-0471079538.
- ^ Eisenhart, LP (1947). An introduction to Differential Geometry. Princeton Univ Press.
- ^ E.g. Deserno, Markus (2015). "Fluid lipid membranes: From differential geometry to curvature stresses". Chemistry and physics of lipids. 185. Elsevier: 11–45. doi:10.1016/J.CHEMPHYSLIP.2014.05.001. Sect 2.7
- ^ Ungar, LH; et al. (1985). "Cellular interface morphologies in directional solidification. III. The effects of heat transfer and solid diffusivity". Phys Rev B. 31 (9): 5923--5930. doi:10.1103/PhysRevB.31.5923.
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