Harmonic forms and generalized solitons
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909714335399936 |
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| author | Blaga, Adara M. Chen, Bang-Yen |
| author_facet | Blaga, Adara M. Chen, Bang-Yen |
| contents | For a generalized soliton $(g,ξ,η,β,γ,δ)$, we provide necessary and sufficient conditions for the dual $1$-form $ξ^{\flat}$ of the potential vector field $ξ$ to be a solution of the Schrödinger-Ricci equation, a harmonic or a Schrödinger-Ricci harmonic form. We also characterize the $1$-forms orthogonal to $ξ^{\flat}$, underlying the results obtained for the Ricci and Yamabe solitons. Further, we formulate the results for the case of gradient generalized solitons. Several applications and examples are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_04223 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Harmonic forms and generalized solitons Blaga, Adara M. Chen, Bang-Yen Differential Geometry For a generalized soliton $(g,ξ,η,β,γ,δ)$, we provide necessary and sufficient conditions for the dual $1$-form $ξ^{\flat}$ of the potential vector field $ξ$ to be a solution of the Schrödinger-Ricci equation, a harmonic or a Schrödinger-Ricci harmonic form. We also characterize the $1$-forms orthogonal to $ξ^{\flat}$, underlying the results obtained for the Ricci and Yamabe solitons. Further, we formulate the results for the case of gradient generalized solitons. Several applications and examples are also presented. |
| title | Harmonic forms and generalized solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2107.04223 |