Canadian Journal of Mathematics · 2015 · 69 citations · 15 references
Natural SciencesMathematicsGeometryTopologyCanonical TransformationsDifferential GeometryGroup TheoryInvariant TheoryKnot TheorySymplectic GeometryDifferential InvariantsGeometric InvarianceGeometric Invariant TheoryGeometric InvariantsInvariantsNormal Form RepresentationStructural Invariants
Abstract We give a normal form of the cuspidal edge that uses only diffeomorphisms on the source and isometries on the target. Using this normal form, we study differential geometric invariants of cuspidal edges that determine them up to order three. We also clarify relations between these invariants.
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