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Tohoku Mathematical Journal
Article
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Other literature type . 1997
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zbMATH Open
Article . 1997
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Tohoku Mathematical Journal
Article . 1997 . Peer-reviewed
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https://dx.doi.org/10.2748/tmj...
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Weierstrass representation for minimal surfaces in hyperbolic space

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1997Publisher:Mathematical Institute, Tohoku UniversityJournal:Tohoku Mathematical Journal, volume 49 (issn: 0040-8735, Copyright policy )
Authors: Kokubu, Masatoshi;

doi: 10.2748/tmj/1178225110

Weierstrass representation for minimal surfaces in hyperbolic space

Abstract

The author intends to give a Weierstrass kind formula for minimal surfaces in hyperbolic space. He defines a notion of Gauss map and proves some statements.

Related Organizations
Keywords

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), hyperbolic space, 53A10, minimal surfaces, Weierstrass representation

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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).
    		 31
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
31
Top 10%
Top 10%
Average
Green
hybrid