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Mathematics
Article . 2020 . Peer-reviewed
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Mathematics
Article . 2020 . Peer-reviewed
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Mathematics
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Mathematics
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δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Apr 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 480 (eissn: 2227-7390, Copyright policy )
Authors: Gabriel Macsim; Adela Mihai; Ion Mihai;

doi: 10.3390/math8040480

δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms

Abstract

In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for the Chen invariant δ ( 2 , 2 ) on Lagrangian submanifolds in quaternionic space forms, regarded as a problem of constrained maxima.

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Keywords

complex space forms, <i>δ</i>(2,2)-invariant, Chen inequalities, QA1-939, quaternionic space forms, Lagrangian submanifolds, Mathematics

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    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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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!
6
Top 10%
Average
Average
gold
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