Opuscula Math. 36, no. 4 (2016), 471-479
A remark on the intersections of subanalytic leaves
Maciej P. Denkowski
Abstract. We discuss a new sufficient condition - weaker than the usual transversality condition - for the intersection of two subanalytic leaves to be smooth. It involves the tangent cone of the intersection and, as typically non-transversal, it is of interest in analytic geometry or dynamical systems. We also prove an identity principle for real analytic manifolds and subanalytic functions.
Keywords: transversality conditions, subanalytic sets.
Mathematics Subject Classification: 32B20, 70H33.