NOTES ON PARA-NORDEN-WALKER 4-MANIFOLDS

Salımov A., İşcan M., Akbulut K.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.7, sa.8, ss.1331-1347, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1142/s021988781000483x
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1331-1347
  • Anahtar Kelimeler: Walker 4-manifolds, almost paracomplex structure, Norden metrics, holomorphic metrics, MANIFOLDS, METRICS
  • Atatürk Üniversitesi Adresli: Evet

Özet

A Walker 4-manifold is a pseudo-Riemannian manifold, (M(4),g) of neutral signature, which admits a field of parallel null 2-plane. The main purpose of the present paper is to study almost paracomplex structures on 4-dimensional Walker manifolds. We discuss sequently the problem of integrability, para-Kahler (paraholomorphic), quasi-para-Kahler and isotropic para-Kahler conditions for these structures. The curvature properties for para-Norden-Walker metrics with respect to the almost paracomplex structure and some properties of para-Norden-Walker metrics in context of almost product Riemannian manifolds are also investigated. Also, we discuss the Einstein conditions for these structures.