Abstract
References
- Bishop R.L., O’Neill B., Manifolds of negative curvature, Transactions of the American Mathematical Society, 145, 1-49, 1969.
- Chaubey S.K., Suh Y.J., Riemannian concircular structure manifolds, Filomat, 36(19), 6699-6711, 2022.
- Chen B.Y., Some results on concircular vector fields and their applications to Ricci solitons, Bulletin of the Korean Mathematical Society, 52(5), 1535-1547, 2015.
- De U.C., Shenawy S., ¨Unal B., Sequential warped products: Curvature and conformal vector fields, Filomat, 33, 4071-4083, 2019.
- De U.C., Shenawy S., Syied N., φ(Ric)-vector fields on warped product manifolds and applications, Afrika Matematika, 35, 1709-1716, 2021.
- De U.C., Suh Y.J., Chaubey S.K., Conformal vector fields on almost co-K¨ahler manifolds, Mathematica Slovaca, 71(6), 1545-1552, 2021.
- Gerdan Aydın S., Traore M., Ta¸stan H.M., ζ(Ric)-vector fields on doubly warped product manifolds, Istanbul Journal of Mathematics, 1(2), 67-73, 2023.
- Hinterleitner I., Kiosak V.A., φ(Ric)-vector fields on conformally flat spaces, AIP Conference Proceedings, 1191(1), 98-103, 2009.
- Hinterleitner I., Kiosak V.A., φ(Ric)-vector fields in Riemannian spaces, Archivum Mathematicum, 44(5), 385-390, 2008.
- Kırık B., Zengin F. Ö., Conformal mappings of quasi-Einstein manifolds admitting special vector fields, Filomat, 29(3), 525-534, 2015.
- Kırık B., Zengin F. Ö., Generalized quasi-Einstein manifolds admitting special vector fields, Acta Mathematica Academiae Paedagogicae Ny´ıregyh´aziensis, 31(1), 61-69, 2015.
- Kırık B., Zengin F. Ö., Applications of a special generalized quasi-Einstein manifold, Bulletin of the Iranian Mathematical Society, 45(1), 89-102, 2019.
- Kobayashi S., Transformations Groups in Differential Geometry, Classic in Mathematics, Springer, 1995.
- Sardar A., De U.C., Conformal vector fields on N(k)-paracontact and para-Kenmotsu manifolds, Miskolc Mathematical Notes, 24(3), 1515-1525, 2023.
- Ünal B., Multiply warped products, Journal of Geometry and Physics, 34, 287-301, 2000.
- Ünal B., Doubly warped products, Differential Geometry and Its Applications, 15, 253-263, 2001.
Abstract
In this paper, we study ξ(Ric)-vector fields on sequential warped products. Assuming that a vector field is a ξ(Ric)-vector field on the sequential product, we investigate the necessary conditions under which its components are also ξ(Ric)-vector fields on the factor manifolds. We also examine the conditions in which a vector field on a sequential warped product could be a ξ(Ric)-vector field. Furthermore, we examine ξ(Ric)-vector fields on a sequential warped space-times.
Keywords
sequential warped product manifold generalized Robertson-Walker space-times standard static space-times. ξ(Ric) vector fields
Ethical Statement
The author declares that the materials and methods used in her study do not require ethical committee and/or legal special permission.
References
- Bishop R.L., O’Neill B., Manifolds of negative curvature, Transactions of the American Mathematical Society, 145, 1-49, 1969.
- Chaubey S.K., Suh Y.J., Riemannian concircular structure manifolds, Filomat, 36(19), 6699-6711, 2022.
- Chen B.Y., Some results on concircular vector fields and their applications to Ricci solitons, Bulletin of the Korean Mathematical Society, 52(5), 1535-1547, 2015.
- De U.C., Shenawy S., ¨Unal B., Sequential warped products: Curvature and conformal vector fields, Filomat, 33, 4071-4083, 2019.
- De U.C., Shenawy S., Syied N., φ(Ric)-vector fields on warped product manifolds and applications, Afrika Matematika, 35, 1709-1716, 2021.
- De U.C., Suh Y.J., Chaubey S.K., Conformal vector fields on almost co-K¨ahler manifolds, Mathematica Slovaca, 71(6), 1545-1552, 2021.
- Gerdan Aydın S., Traore M., Ta¸stan H.M., ζ(Ric)-vector fields on doubly warped product manifolds, Istanbul Journal of Mathematics, 1(2), 67-73, 2023.
- Hinterleitner I., Kiosak V.A., φ(Ric)-vector fields on conformally flat spaces, AIP Conference Proceedings, 1191(1), 98-103, 2009.
- Hinterleitner I., Kiosak V.A., φ(Ric)-vector fields in Riemannian spaces, Archivum Mathematicum, 44(5), 385-390, 2008.
- Kırık B., Zengin F. Ö., Conformal mappings of quasi-Einstein manifolds admitting special vector fields, Filomat, 29(3), 525-534, 2015.
- Kırık B., Zengin F. Ö., Generalized quasi-Einstein manifolds admitting special vector fields, Acta Mathematica Academiae Paedagogicae Ny´ıregyh´aziensis, 31(1), 61-69, 2015.
- Kırık B., Zengin F. Ö., Applications of a special generalized quasi-Einstein manifold, Bulletin of the Iranian Mathematical Society, 45(1), 89-102, 2019.
- Kobayashi S., Transformations Groups in Differential Geometry, Classic in Mathematics, Springer, 1995.
- Sardar A., De U.C., Conformal vector fields on N(k)-paracontact and para-Kenmotsu manifolds, Miskolc Mathematical Notes, 24(3), 1515-1525, 2023.
- Ünal B., Multiply warped products, Journal of Geometry and Physics, 34, 287-301, 2000.
- Ünal B., Doubly warped products, Differential Geometry and Its Applications, 15, 253-263, 2001.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebraic and Differential Geometry |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | July 30, 2025 |
| Submission Date | December 27, 2024 |
| Acceptance Date | July 3, 2025 |
| Published in Issue | Year 2025 Volume: 6 Issue: 2 |
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