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Harmonic maps on locally conformal almost cosymplectic manifolds.

Authors :
Gherghe, Cătălin
Vîlcu, Gabriel-Eduard
Source :
Communications in Contemporary Mathematics. Nov2024, Vol. 26 Issue 9, p1-16. 16p.
Publication Year :
2024

Abstract

We investigate harmonic maps on almost contact metric manifolds which are locally conformal to almost cosymplectic manifolds. We obtain the necessary and sufficient conditions for the holomorphy to imply harmonicity and then we find obstructions to the existence of non-constant pluriharmonic maps. We also establish some results on the stability of the identity map on a locally conformal almost cosymplectic manifold of pointwise constant φ-holomorphic sectional curvature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02191997
Volume :
26
Issue :
9
Database :
Academic Search Index
Journal :
Communications in Contemporary Mathematics
Publication Type :
Academic Journal
Accession number :
179116382
Full Text :
https://doi.org/10.1142/S0219199723500529