Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces
In this paper, we study the eigenvalue problem of poly-drifting Laplacian on complete smooth metric measure space (M,⟨,⟩,e−ϕdv)\left(M,\langle ,\rangle ,{e}^{-\phi }{\rm{d}}v), with nonnegative weighted Ricci curvature Ricϕ≥0{{\rm{Ric}}}^{\phi }\ge 0 for some ϕ∈C2(M)\phi \in {C}^{2}\left(M), which i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2021-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2021-0100 |
| _version_ | 1819001723687010304 |
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| author | Hou Lanbao Du Feng Mao Jing Wu Chuanxi |
| author_facet | Hou Lanbao Du Feng Mao Jing Wu Chuanxi |
| author_sort | Hou Lanbao |
| collection | DOAJ |
| description | In this paper, we study the eigenvalue problem of poly-drifting Laplacian on complete smooth metric measure space (M,⟨,⟩,e−ϕdv)\left(M,\langle ,\rangle ,{e}^{-\phi }{\rm{d}}v), with nonnegative weighted Ricci curvature Ricϕ≥0{{\rm{Ric}}}^{\phi }\ge 0 for some ϕ∈C2(M)\phi \in {C}^{2}\left(M), which is uniformly bounded from above, and successfully obtain several universal inequalities of this eigenvalue problem. |
| first_indexed | 2024-12-20T22:53:45Z |
| format | Article |
| id | doaj.art-1b7b37e179f04ca3bb183c59df3d2dfd |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-20T22:53:45Z |
| publishDate | 2021-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-1b7b37e179f04ca3bb183c59df3d2dfd2022-12-21T19:24:09ZengDe GruyterOpen Mathematics2391-54552021-10-011911110111910.1515/math-2021-0100Universal inequalities of the poly-drifting Laplacian on smooth metric measure spacesHou Lanbao0Du Feng1Mao Jing2Wu Chuanxi3Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, ChinaSchool of Mathematics and Physics Science, Jingchu University of Technology, Jingmen, 448000, ChinaFaculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, ChinaFaculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, ChinaIn this paper, we study the eigenvalue problem of poly-drifting Laplacian on complete smooth metric measure space (M,⟨,⟩,e−ϕdv)\left(M,\langle ,\rangle ,{e}^{-\phi }{\rm{d}}v), with nonnegative weighted Ricci curvature Ricϕ≥0{{\rm{Ric}}}^{\phi }\ge 0 for some ϕ∈C2(M)\phi \in {C}^{2}\left(M), which is uniformly bounded from above, and successfully obtain several universal inequalities of this eigenvalue problem.https://doi.org/10.1515/math-2021-0100eigenvaluesuniversal inequalitiespoly-drifting laplaciansmooth metric measure spaceweighted ricci curvature35p1553c2053c42 |
| spellingShingle | Hou Lanbao Du Feng Mao Jing Wu Chuanxi Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces Open Mathematics eigenvalues universal inequalities poly-drifting laplacian smooth metric measure space weighted ricci curvature 35p15 53c20 53c42 |
| title | Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces |
| title_full | Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces |
| title_fullStr | Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces |
| title_full_unstemmed | Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces |
| title_short | Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces |
| title_sort | universal inequalities of the poly drifting laplacian on smooth metric measure spaces |
| topic | eigenvalues universal inequalities poly-drifting laplacian smooth metric measure space weighted ricci curvature 35p15 53c20 53c42 |
| url | https://doi.org/10.1515/math-2021-0100 |
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