ON WARPED PRODUCT MANIFOLDS SATISFYING RICCI-HESSIAN CLASS TYPE EQUATIONS


Güler S. , Altay Demirbağ S.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, cilt.103, ss.69-75, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 103 Konu: 117
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/pim1817069g
  • Dergi Adı: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Sayfa Sayıları: ss.69-75

Özet

We deal with a study of warped product manifold which is also a generalized quasi Einstein manifold. Then, we investigate the relationships between such warped products and certain manifolds that provide some Ricci-Hessian type equations, such as Ric(f)(m) = lambda g for some smooth function lambda, where Ric(f)(m) denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity conditions for such manifolds.