Non-existence of harmonic maps on trans-Sasakian manifolds
- Autores: Jaiswal A.1, Pandey B.1
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Afiliações:
- Department of Mathematics
- Edição: Volume 37, Nº 2 (2016)
- Páginas: 185-192
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197477
- DOI: https://doi.org/10.1134/S1995080216020074
- ID: 197477
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Resumo
In this paper, we have studied harmonic maps on trans-Sasakian manifolds. First it is proved that if F: M1 → M2 is a Riemannian ϕ-holomorphic map between two trans-Sasakian manifolds such that ξ2 ∈ (Im dF)⊥, then F can not be harmonic provided that β2 ≠ 0. We have also found the necessary and sufficient condition for the harmonic map to be constant map from Kaehler to trans-Sasakian manifold. Finally, we prove the non-existence of harmonic map from locally conformal Kaehler manifold to trans-Sasakian manifold.
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Sobre autores
A. Jaiswal
Department of Mathematics; Department of Mathematics
Autor responsável pela correspondência
Email: asstprofjpmanit@gmail.com
Índia, Bhopal; Bhopal
B. Pandey
Department of Mathematics; Department of Mathematics
Email: asstprofjpmanit@gmail.com
Índia, Bhopal; Bhopal