Non-existence of harmonic maps on trans-Sasakian manifolds
- Авторы: Jaiswal A.1, Pandey B.1
-
Учреждения:
- Department of Mathematics
- Выпуск: Том 37, № 2 (2016)
- Страницы: 185-192
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197477
- DOI: https://doi.org/10.1134/S1995080216020074
- ID: 197477
Цитировать
Аннотация
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.
Ключевые слова
Об авторах
A. Jaiswal
Department of Mathematics; Department of Mathematics
Автор, ответственный за переписку.
Email: asstprofjpmanit@gmail.com
Индия, Bhopal; Bhopal
B. Pandey
Department of Mathematics; Department of Mathematics
Email: asstprofjpmanit@gmail.com
Индия, Bhopal; Bhopal