3,449 research outputs found
Asymptotic flexibility of globally hyperbolic manifolds
In this short note, a question of patching together globally hyperbolic
manifolds is adressed which appeared in the context of the construction of
Hadamard states.Comment: 2 pages, submitted to 'Mathematische Zeitschrift
A note on invariant temporal functions
The purpose of this article is to present a result on the existence of Cauchy
temporal functions invariant by the action of a compact group of conformal
transformations in arbitrary globally hyperbolic manifolds. Moreover, the
previous results about the existence of Cauchy temporal functions with
additional properties on arbitrary globally hyperbolic manifolds are unified in
a fully general theorem. The article is written as self-contained as possible,
no prior knowledge on Lorentzian geometry is assumed.Comment: 14 pages, no figure
Applying the index theorem to non-smooth operators
We give a simple way to extend index-theoretical statements from partial
differential operators with smooth coefficients to operators with coefficients
of finite Sobolev order.Comment: 9 pages, no figur
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