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

Karaman, Çağrı; Gezer, Aydın

Makale Tam Makale Uluslararası 2019

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

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS Cilt 81 · Sayı 2 · ss. 109–114 · 01.01.2019

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.

Atıf için künye

Karaman, Ç., & Gezer, A. (2019). GEOMETRY OF STATISTICAL F-CONNECTIONS ON THE ANTI-KAHLER MANIFOLD. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 81(2), 109–114.

BibTeX

@article{karaman2019-73783,
  author = {Karaman, Çağrı and Gezer, Aydın},
  title = {GEOMETRY OF STATISTICAL F-CONNECTIONS ON THE ANTI-KAHLER MANIFOLD},
  journal = {UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS},
  year = {2019},
  volume = {81},
  number = {2},
  pages = {109--114},
  issn = {1223-7027},
  url = {https://akademik.atauni.edu.tr/yayinlar/73783-geometry-of-statistical-f-connections-on-the-anti-kahler-manifold}
}