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| On Warped Product Gradient Ricci-Harmonic Soliton |
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Citation： |
Elismar BATISTA,Levi ADRIANO,Willian TOKURA.On Warped Product Gradient Ricci-Harmonic Soliton[J].Chinese Annals of Mathematics B,2026,(2):343~358 |
| Page view： 79
Net amount： 29 |
Authors： |
Elismar BATISTA; Levi ADRIANO;Willian TOKURA |
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| Abstract： |
In this paper, the authors study gradient Ricci-Harmonic solitons on warped product manifolds. First, they prove triviality results for the potential and warping functions that reach a maximum or a minimum. In order to provide nontrivial examples, they consider the base and the fiber conformal to a semi-Euclidean space, which is invariant under the action of a translation group of co-dimension one. This approach allows them to produce infinitely many examples of geodesically complete semi-Riemannian Ricci-Harmonic solitons not present in the literature. |
Keywords： |
Warped product Gradient Ricci-Harmonic solitons Semi-Riemannian metric Group action |
Classification： |
58J60, 53C25, 53C21 |
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