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Almost Ricci solitons in a generalized D-conformally deformed (LCS)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_{n}$$\end{document}-manifold

Almost Ricci solitons in a generalized D-conformally deformed (LCS)n\documentclass[12pt]{minimal}... The present paper attempts to study the almost Ricci solitons in a generalized D-conformally deformed (LCS)n\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$_{n}$$\end{document}-manifold considering potential vector field as a solenoidal vector field, a gradient vector field or the Reeb vector field of the deformed structure and explicitly investigate the Ricci and scalar curvatures for some cases. We also determine some inequalities for the Ricci curvature of the deformed (LCS)n\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$_{n}$$\end{document}-manifold when it admits a gradient almost Ricci soliton. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

Almost Ricci solitons in a generalized D-conformally deformed (LCS)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_{n}$$\end{document}-manifold

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References (34)

Publisher
Springer Journals
Copyright
Copyright © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/s11565-022-00404-x
Publisher site
See Article on Publisher Site

Abstract

The present paper attempts to study the almost Ricci solitons in a generalized D-conformally deformed (LCS)n\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$_{n}$$\end{document}-manifold considering potential vector field as a solenoidal vector field, a gradient vector field or the Reeb vector field of the deformed structure and explicitly investigate the Ricci and scalar curvatures for some cases. We also determine some inequalities for the Ricci curvature of the deformed (LCS)n\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$_{n}$$\end{document}-manifold when it admits a gradient almost Ricci soliton.

Journal

ANNALI DELL UNIVERSITA DI FERRARASpringer Journals

Published: May 1, 2023

Keywords: Almost Ricci soliton; Generalized D-conformally deformed (LCS)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(LCS)_n$$\end{document}-structure; Solenoidal vector field; Gradient vector field; 53C15; 53C25

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