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CONTENTSIntroduction......................................................................................................................................... 5Chapter I. Families of nets on a Riemannian manifold............................................................. 8 1. Family of canonical triangulations of $R^m$...................................................................... 8 2. Non-degeneracy in the case of nets defined by simplicial subdivisions...................... 9 3. Auxiliary...

CONTENTSIntroduction.......................................................................................................... 51. A parametrix of tho laplacian................................................................................ 72. An estimation of the differential of an eigenfunction of the laplacian......... 163. A normal chart on a neighbourhood of a geodesic........................................ 274. Minorization of the first positive eigenvalue of the laplacian............................