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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Inventiones mathemat...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Inventiones mathematicae
Article . 1985 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1985
Data sources: zbMATH Open
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The ?-invariant of hyperbolic 3-manifolds

The \(\eta\)-invariant of hyperbolic 3-manifolds
Authors: Yoshida, Tomoyoshi;

The ?-invariant of hyperbolic 3-manifolds

Abstract

The \(\eta\)-invariant introduced by \textit{M. F. Atiyah}, \textit{V. K. Patodi} and \textit{I. M. Singer}, Math. Proc. Camb. Philos. Soc. 77, 43-69 (1975; Zbl 0297.58008), is studied here for hyperbolic 3-manifolds; there is also given a representation for the first Pontryagin form of the Riemannian metric of a 4-dimensional compact oriented Riemannian manifold with boundary.

Countries
Germany, Japan
Keywords

510.mathematics, \(\eta \) -invariant, homotopy equivalence, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Riemannian manifold with boundary, Article, Global Riemannian geometry, including pinching

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
56
Top 10%
Top 10%
Average
Green