On warped product manifolds satisfying Ricci-Hessian class type equations
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 Ricmf = ?g for some smooth function ?, where Ricmf de...
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| Veröffentlicht in: | Publications de l'Institut mathématique (Belgrade) 2018, Vol.103 (117), p.69-75 |
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| container_title | Publications de l'Institut mathématique (Belgrade) |
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| creator | Güler, Sinem Demirbağ, Altay |
| description | 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 Ricmf = ?g for some smooth function ?, where Ricmf
denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity
conditions for such manifolds.
nema |
| doi_str_mv | 10.2298/PIM1817069G |
| format | Article |
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quasi Einstein manifold. Then, we investigate the relationships between such
warped products and certain manifolds that provide some Ricci-Hessian type
equations, such as Ricmf = ?g for some smooth function ?, where Ricmf
denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity
conditions for such manifolds.
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quasi Einstein manifold. Then, we investigate the relationships between such
warped products and certain manifolds that provide some Ricci-Hessian type
equations, such as Ricmf = ?g for some smooth function ?, where Ricmf
denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity
conditions for such manifolds.
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quasi Einstein manifold. Then, we investigate the relationships between such
warped products and certain manifolds that provide some Ricci-Hessian type
equations, such as Ricmf = ?g for some smooth function ?, where Ricmf
denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity
conditions for such manifolds.
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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| title | On warped product manifolds satisfying Ricci-Hessian class type equations |
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