Norden structures of Hessian type

SALIMOV A., GEZER A.

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

  • 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.