For any K0 < 0 and any slowly growing h, there exist asymptotically hyperbolic manifolds with |Krad-K0| = O(h(r)/(1+r)) whose Laplacian has nonempty singular continuous spectrum embedded in its essential spectrum.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case
For any K0 < 0 and any slowly growing h, there exist asymptotically hyperbolic manifolds with |Krad-K0| = O(h(r)/(1+r)) whose Laplacian has nonempty singular continuous spectrum embedded in its essential spectrum.