Conformal Mappings of Quasi-Einstein Manifolds Admitting Special Vector Fields


KIRIK B. , ZENGİN F.

FILOMAT, cilt.29, sa.3, ss.525-534, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1503525k
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.525-534

Özet

As it is known, Einstein manifolds play an important role in geometry as well as in general relativity. Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds. In this work, we investigate conformal mappings of quasi-Einstein manifolds. Considering this mapping, we examine some properties of these manifolds. After that, we also study some special vector fields under this mapping of these manifolds and some theorems about them are proved.