ON WARPED PRODUCT MANIFOLDS SATISFYING RICCI-HESSIAN CLASS TYPE EQUATIONS

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Güler S., Altay Demirbağ S.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, vol.103, no.117, pp.69-75, 2018 (ESCI)

• Publication Type: Article / Article
• Volume: 103 Issue: 117
• Publication Date: 2018
• Doi Number: 10.2298/pim1817069g
• Journal Name: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.69-75
• Istanbul Technical University Affiliated: Yes

Abstract

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.