THE SPECTRAL GEOMETRY OF EINSTEIN MANIFOLDS WITH BOUNDARY
THE SPECTRAL GEOMETRY OF EINSTEIN MANIFOLDS WITH BOUNDARY
Let (M,g) be a compact m dimensional Einstein manifold with smooth boundary. Let <TEX>$\Delta$</TEX><TEX>$_{p}$</TEX>,B be the realization of the p form valued Laplacian with a suitable boundary condition B. Let Spec(<TEX>$\Delta$</TEX><TEX>$_{p}$</TEX>,B) be the spectrum where each eigenvalue is repeated according to multiplicity. We show that certain geometric properties of the …