Golden-Hessian Structures

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Atıf İçin Kopyala

Gezer A., Karaman Ç.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.86, sa.1, ss.41-46, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 86 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.1007/s40010-015-0226-0
• Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.41-46
• Anahtar Kelimeler: Decomposable and holomorphic tensors, Golden structure, Hessian metric, Pure tensor, INTEGRABILITY, GEOMETRY, RATIO
• Atatürk Üniversitesi Adresli: Evet

Özet

Let (M, g) be an n-dimensional (pseudo)-Riemannian manifold and f : M -> R be a smooth function whose Hessian with respect to g is non-degenerate. One can define the associated (pseudo)-Riemannian Hessian metric h - del(2)f on M, where del is the Levi-Civita connection of g. In the present paper we investigate conditions under which the manifold M equipped with a (complex) golden structure and with the Hessian metric h is a (holomorphic) locally decomposable golden (Norden) Hessian manifold. Furthermore some examples are presented.