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Nets on a Riemannian manifold and finite-dimensional approximations of the Laplacian

Jacek Komorowski — 1979

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...

A minorization of the first positive eigenvalue of the scalar laplacian on a compact Riemannian manifold

Jacek Komorowski — 1980

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............................

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