Savale, Nikhil . Hyperbolicity, irrationality exponents and the eta invariant. Commun. Partial Differ. Equ.. PHILADELPHIA: TAYLOR & FRANCIS INC. ISSN 1532-4133

Full text not available from this repository.

Abstract

We consider the remainder term in the semiclassical limit formula of [2] for the eta invariant on a metric contact manifold, proving in general that it is controlled by volumes of recurrence sets of the Reeb flow. This particularly gives a logarithmic improvement of the remainder for Anosov Reeb flows, while for certain elliptic flows the improvement is in terms of irrationality measures of corresponding Floquet exponents.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Savale, NikhilUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-565070
DOI: 10.1080/03605302.2021.2018711
Journal or Publication Title: Commun. Partial Differ. Equ.
Publisher: TAYLOR & FRANCIS INC
Place of Publication: PHILADELPHIA
ISSN: 1532-4133
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
SPECTRAL ASYMMETRY; WAVE-EQUATION; ANOSOV-FLOWS; ASYMPTOTICS; OPERATORSMultiple languages
Mathematics, Applied; MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/56507

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item