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Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society
Article . 1981 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1981 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1090/s00...
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Totally Real Submanifolds in a 6-Sphere

Totally real submanifolds in a 6-sphere
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1981Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 83, page 759 (issn: 0002-9939, Copyright policy )
Authors: Ejiri, Norio;

doi: 10.2307/2044249 , 10.1090/s0002-9939-1981-0630028-6

Totally Real Submanifolds in a 6-Sphere

Abstract

A 6 6 -dimensional sphere S 6 {S^6} has an almost complex structure induced by properties of Cayley algebra. We investigate 3 3 -dimensional totally real submanifolds in S 6 {S^6} and classify 3 3 -dimensional totally real submanifolds of constant sectional curvature.

Keywords

totally real submanifold, Global submanifolds, Hermitian structure, Global differential geometry of Hermitian and Kählerian manifolds, constant curvature

  • BIP!
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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).
    		 63
    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.
    		 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).
    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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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!
63
Top 10%
Top 1%
Average
bronze