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要旨:
The aim of this work is to get a relation between smectics (SmA) and relativity
theory. Through whose spacetime symmetries one obtain new insights about SmA.
The properties of SmA are decisive determined by “focal conic domains“ (FCD)
respectively the “focal lines“. With FCD one attain to Minkowskispacetime and
identified SmA to projections of intersecting light cones. Then generalised that to
curved spacetimes: de-Sitter-spacetime and anti-de-Sitter-spacetime. Finally one
transform the free energy density between SmA’s by using spacetime symmetries.
