Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absence of embedded eigenvalues for Riemannian Laplacians   In this paper we study absence of embedded eigenvalues for Schr\"odinger
operators on non-compact connected Riemannian manifolds. A principal example is
given by a manifold with an end (possibly more than one) in which geodesic
coordinates are naturally defined. In this case one of our geometric conditions
is a positive lower bound of the second fundamental form of angular
submanifolds at infinity inside the end. Another condition may be viewed (at
least in a special case) as being a bound of the trace of this quantity, while
similarly, a third one as being a bound of the derivative of this trace. In
addition to geometric bounds we need conditions on the potential, a regularity
property of the domain of the Schr\"odinger operator and the unique
continuation property. Examples include ends endowed with asymptotic Euclidean
or hyperbolic metrics studied previously in the literature.

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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn