Harmonic Riemannian maps on locally conformal Kaehler manifolds

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Atıf İçin Kopyala

Sahin B.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.118, sa.4, ss.573-581, 2008 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 118 Sayı: 4
• Basım Tarihi: 2008
• Doi Numarası: 10.1007/s12044-008-0045-1
• Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.573-581
• İnönü Üniversitesi Adresli: Hayır

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.