Non-existence of harmonic maps on trans-Sasakian manifolds
type: Item
instance of: scholarly article
title: Non-existence of harmonic maps on trans-Sasakian manifolds
zbMATH Open document ID: 1358.32014
DOI: 10.1134/S1995080216020074
author: A. J. P. Jaiswal
author: B. Avdhesh Pandey
published in: Lobachevskii Journal of Mathematics
publication date: 2016-07-11T00:00:00Z
review text: Some conditions are put on a Riemannian \(\varphi\)-holomorphic map between two trans-Sasakian manifolds to be non-harmonic. Then some conditions are provided for a \(\varphi\)-holomorphic map, from a contact metric manifold to a trans-Sasakian manifold, to be constant. Finally, a non-existence result of a harmonic map from a locally conformal Kähler manifold to a trans-Sasakian manifold is given.
reviewed by: Cornelia-Livia Bejan
Mathematics Subject Classification ID: 32Q15
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 6602860
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: trans-Sasakian manifolds
zbMATH Keywords: holomorphic maps
zbMATH Keywords: harmonic maps
MaRDI profile type: Publication
cites work: Q4036976
cites work: Harmonic Riemannian maps on locally conformal Kähler manifolds
cites work: Harmonic maps on trans-Sasaki manifolds
cites work: Harmonic maps and stability on locally conformal Kähler manifolds
cites work: CR-manifolds, harmonic maps and stability.
cites work: Conformal and related changes of metric on the product of two almost contact metric manifolds
cites work: Q3750580
cites work: Harmonic Mappings of Riemannian Manifolds
cites work: Harmonic maps on Sasakian manifolds
cites work: Harmonic maps on Kenmotsu manifolds
cites work: Harmonic maps on contact metric manifolds
cites work: Q4882697
full work available at URL: s1995080216020074
OpenAlex ID: W2463818214
description: scientific article; zbMATH DE number 6602860