Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
Copyright policy )Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. A special attention is paid to concurrent vector fields. Finally, Ricci solitons on doubly warped product spacetime admitting conformal vector fields are considered.
Mathematics - Differential Geometry, Local Riemannian geometry, Special Riemannian manifolds (Einstein, Sasakian, etc.), concurrent vector fields, Local differential geometry of Lorentz metrics, indefinite metrics, Differential Geometry (math.DG), Physics, QC1-999, FOS: Mathematics, Primary 53C21, Secondary 53C50, 53C80, doubly warped spacetime, Ricci solitons
Mathematics - Differential Geometry, Local Riemannian geometry, Special Riemannian manifolds (Einstein, Sasakian, etc.), concurrent vector fields, Local differential geometry of Lorentz metrics, indefinite metrics, Differential Geometry (math.DG), Physics, QC1-999, FOS: Mathematics, Primary 53C21, Secondary 53C50, 53C80, doubly warped spacetime, Ricci solitons
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