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Article . 2019
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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
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Article . 2019
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Article . 2019
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NOTES ON RIEMANNIAN MAPS

descriptionPublicationkeyboard_double_arrow_right Article 26 Oct 2019 Turkey English Publisher:Univ Politehnica Bucharest, Sci Bull
Authors: Sahin, Bayram;

handle: 11454/32866 , 11454/16332

NOTES ON RIEMANNIAN MAPS

Abstract

In this paper, we first find necessary and sufficient conditions for the total space of a Riemannian map to be an Einstein manifold and then we obtain various inequalities in terms of the scalar curvatures of the base space, fibers and images. In the equality cases of those inequalities, we obtain harmonicity and totally geodesicity of such maps.

WOS: 000410457300013

Country
Turkey
Related Organizations
Keywords

Einstein manifold, Totally geodesic map, Riemannian map, Harmonic map, Generalized divergence theorem

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selected citations
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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.
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