Harmonic Riemannian maps on locally conformal Kaehler manifolds
Küçük Resim Yok
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study harmonic Riemannian maps on locally conformal Kaehler manifolds (IcK manifolds). We show that if a Riemannian holomorphic map between IcK manifolds is harmonic, then the Lee vector field of the domain belongs to the kernel of the Riemannian map under a condition. When the domain is Kaehler, we prove that a Riemannian holomorphic map is harmonic if and only if the IcK manifold is Kaehler. Then we find similar results for Riemannian maps between IcK manifolds and Sasakian manifolds. Finally, We check the constancy of some maps between almost complex (or almost contact) manifolds and almost product manifolds.
Açıklama
Anahtar Kelimeler
Kaehler manifold, Sasakian manifold, locally conformal Kaehler manifold, harmonic map, Riemannian map, holomorphic map
Kaynak
Proceedings of The Indian Academy of Sciences-Mathematical Sciences
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
118
Sayı
4
