GEOMETRY OF STATISTICAL F-CONNECTIONS ON THE ANTI-KAHLER MANIFOLD

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Atıf İçin Kopyala

KARAMAN Ç., GEZER A.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.81, sa.2, ss.109-114, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 81 Sayı: 2
• Basım Tarihi: 2019
• Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.109-114
• Atatürk Üniversitesi Adresli: Evet

Özet

Let M-2k be an anti-Kahler manifold with an almost complex structure F, a pseudo-Riemannian metric g and a totally symmetric (0, 3)-tensor field C. We first introduce statistical F - connections which are a special class of alpha-connections on M-2k and derive the conditions under which its curvature tensor field is holomorphic. Then, we present some local results concerning with curvature properties of the connection and the tensor C.