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- W92528452 abstract "AbstractIn the first two sections of the present chapter we introduce a conjecture (Conjecture 7.1) which specifies the idea that the characterization of the divisor of the Selberg zeta function of the a-twisted geodesic flow proved in Chapter 3 Section 3.3 is related to its characterizations in terms of a-twisted harmonic currents on SX. In the third section we prove some results on a-twisted globally harmonic currents which are constant along the leaves of 03—. In addition to the results in Chapter 5 these results support Conjecture 7.1. Moreover, in Section 7.4 we give a complete description of the divisor of the Ruelle zeta function Z of the geodesic flow of a compact hyperbolic 4-manifold X in terms of harmonic currents on SX. The appropriate notion of harmonicity involves additional conditions along the leaves of P.KeywordsHigh WeightZeta FunctionGeodesic FlowDistributional SectionHarmonic CurrentThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W92528452 created "2016-06-24" @default.
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- W92528452 date "2001-01-01" @default.
- W92528452 modified "2023-09-27" @default.
- W92528452 title "Divisors and Harmonic Currents" @default.
- W92528452 doi "https://doi.org/10.1007/978-3-0348-8340-5_7" @default.
- W92528452 hasPublicationYear "2001" @default.
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