Ruled surfaces with constant terms in the relative Theorema Egregium |
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| Authors: | Thomas Binder |
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| Institution: | University of Lübeck, Institute of Mathematics, Wallstr. 40, D-23560 Lübeck, Germany |
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| Abstract: | Two complete classifications are given: (a) relative surfaces with isoparametric relative shape operator and projectively flat relative induced connection and (b) relative Tchebychev surfaces with constant terms in the relative Theorema Egregium. Both classifications share the occurrence of certain classes of ruled surfaces satisfying these strong conditions with respect to a relative geometry. |
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| Keywords: | Relative geometry Ruled surface Theorema Egregium Projectively flat connection Isoparametric surface Tchebychev surface |
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