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...

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Autores principales:	Hou Lanbao, Du Feng, Mao Jing, Wu Chuanxi
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	eigenvalues universal inequalities poly-drifting laplacian smooth metric measure space weighted ricci curvature 35p15 53c20 53c42 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/1b7b37e179f04ca3bb183c59df3d2dfd
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spelling	oai:doaj.org-article:1b7b37e179f04ca3bb183c59df3d2dfd2021-12-05T14:10:53ZUniversal inequalities of the poly-drifting Laplacian on smooth metric measure spaces2391-545510.1515/math-2021-0100https://doaj.org/article/1b7b37e179f04ca3bb183c59df3d2dfd2021-10-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0100https://doaj.org/toc/2391-5455In 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.Hou LanbaoDu FengMao JingWu ChuanxiDe Gruyterarticleeigenvaluesuniversal inequalitiespoly-drifting laplaciansmooth metric measure spaceweighted ricci curvature35p1553c2053c42MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 1110-1119 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	eigenvalues universal inequalities poly-drifting laplacian smooth metric measure space weighted ricci curvature 35p15 53c20 53c42 Mathematics QA1-939
spellingShingle	eigenvalues universal inequalities poly-drifting laplacian smooth metric measure space weighted ricci curvature 35p15 53c20 53c42 Mathematics QA1-939 Hou Lanbao Du Feng Mao Jing Wu Chuanxi Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces
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.
format	article
author	Hou Lanbao Du Feng Mao Jing Wu Chuanxi
author_facet	Hou Lanbao Du Feng Mao Jing Wu Chuanxi
author_sort	Hou Lanbao
title	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_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_sort	universal inequalities of the poly-drifting laplacian on smooth metric measure spaces
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/1b7b37e179f04ca3bb183c59df3d2dfd
work_keys_str_mv	AT houlanbao universalinequalitiesofthepolydriftinglaplacianonsmoothmetricmeasurespaces AT dufeng universalinequalitiesofthepolydriftinglaplacianonsmoothmetricmeasurespaces AT maojing universalinequalitiesofthepolydriftinglaplacianonsmoothmetricmeasurespaces AT wuchuanxi universalinequalitiesofthepolydriftinglaplacianonsmoothmetricmeasurespaces
_version_	1718371586975727616

Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces

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