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Harmonicity and minimality of complex and quaternionic radial foliations.

Authors :
González-Dávila, José Carmelo
Source :
Forum Mathematicum. May2018, Vol. 30 Issue 3, p785-798. 14p.
Publication Year :
2018

Abstract

We construct special classes of totally geodesic almost regular foliations, namely, complex radial foliations in Hermitian manifolds and quaternionic radial foliations in quaternionic Kähler manifolds, and we give criteria for their harmonicity and minimality. Then examples of these foliations on complex and quaternionic space forms, which are harmonic and minimal, are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09337741
Volume :
30
Issue :
3
Database :
Academic Search Index
Journal :
Forum Mathematicum
Publication Type :
Academic Journal
Accession number :
129405500
Full Text :
https://doi.org/10.1515/forum-2017-0076