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On Functions of Several Split-Quaternionic Variables

On functions of several split-quaternionic variables
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 United States English Publisher:WileyJournal:Advances in Mathematical Physics, volume 2,016, pages 1-12 (issn: 1687-9120, eissn: 1687-9139, Copyright policy )
Authors: Gueo Grantcharov; Camilo Montoya;

doi: 10.1155/2016/3654530

On Functions of Several Split-Quaternionic Variables

Abstract

Alesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split-quaternionic variables and point to some relations with geometry.

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Keywords

Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Pluriharmonic and plurisubharmonic functions, Matrices over special rings (quaternions, finite fields, etc.), Physics, QC1-999, quaternionic Hessian, Mathematics

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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!
1
Average
Average
Average
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