Norden structures of Hessian type

SALIMOV, Arif; GEZER, Aydın

doi:10.3906/mat-1301-31

Norden structures of Hessian type

SALIMOV A., GEZER A.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.3, ss.462-469, 2014 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 3
Basım Tarihi: 2014
Doi Numarası: 10.3906/mat-1301-31
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.462-469
Anahtar Kelimeler: Hessian structure, Norden manifold, holomorphic (para-holomorphic) function, para-Kahler metric
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we show that Kahler (para-Kahler) manifolds admit a Norden-Hessian metric h = del(2) f if the function f is holomorphic (para-holomorphic), and we further consider the existence condition of para-Kahler structures for Norden-Hessian metrics.