On warped product manifolds satisfying Ricci-Hessian class type equations

Sinem Güler; Sezgin Altay Demirbağ

doi:10.2298/PIM1817069G

On warped product manifolds satisfying Ricci-Hessian class type equations

Sinem Güler, Sezgin Altay Demirbağ

Department of Mathematics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 = λg for some smooth function λ, where Ric_f_m denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity conditions for such manifolds.

Original language	English
Pages (from-to)	69-75
Number of pages	7
Journal	Publications de l'Institut Mathematique
Volume	103
Issue number	117
DOIs	https://doi.org/10.2298/PIM1817069G
Publication status	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018, Mathematical Institute of the Serbian Academy of Sciences and Arts.

Keywords

Conformal vector field
Generalized quasi Einstein manifold
m-Bakery-Emery Ricci tensor
Warped product manifold

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10.2298/PIM1817069G

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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 Ricfm = λg for some smooth function λ, where Ricfm denotes the m-Bakery-Emery Ricci tensor. Finally, we obtain some rigidity conditions for such manifolds.",

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On warped product manifolds satisfying Ricci-Hessian class type equations

Abstract

Bibliographical note

Keywords

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